X CLASS STBB MATH QUIZZES

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Category: Mathematics

"Crack the Code, Unleash the Genius: Your Journey to Mathematics Mastery Starts Here!

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Mathematics

REAL AND COMPLEX NUMBERS

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Category: Real and Complex Numbers

1. 2 ⁄ 10 = 0.2 is the example of

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Category: Real and Complex Numbers

2. π is a

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Category: Real and Complex Numbers

3. The decimal fraction in which some digits are repeated again and again in same order in its decimal part is called

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Category: Real and Complex Numbers

4. The union of the set of rational and irrational numbers is known as

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Category: Real and Complex Numbers

5. The numbers in the form of p ⁄ q where p, q are integers and q is not zero are called

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Category: Real and Complex Numbers

6. The decimal form of 5 ⁄ 8 is

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Category: Real and Complex Numbers

7. √3 is the example of

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Category: Real and Complex Numbers

8. The set of real numbers is denoted by

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Category: Real and Complex Numbers

9. 4 ⁄ 11 = 0.2222 is the example of

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Category: Real and Complex Numbers

10. Non-terminating decimal fraction is also known as

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Category: Real and Complex Numbers

11. Add 2 + 3i  and - 3 + 5is

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Category: Real and Complex Numbers

12. The numbers which can be expressed as quotient of integers are known as

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Category: Real and Complex Numbers

13. The set of irrational numbers is denoted by

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Category: Real and Complex Numbers

14. The numbers 1, 2, 3, .... which are used for counting certain objects are called

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Category: Real and Complex Numbers

15. The set consist of positive integers, zero and negative integers is called

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Mathematics

LOGARITHMS

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Category: Logarithms

1. Fractional part of logarithm is ________.

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Category: Logarithms

2.  If log x = 2 then x =

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Category: Logarithms

3. If log10 x = 4 then x=______

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Category: Logarithms

4. Integral part of logarithm is ________.

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Category: Logarithms

5. Log 31.09 = ________.

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Category: Logarithms

6. Logarithm having base 10 is called ____ logarithms

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Category: Logarithms

7. The number of digits in 3^5

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Category: Logarithms

8. The base of common logarithm is

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Category: Logarithms

9. If log2 8 = x then x =

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Category: Logarithms

10. Base in the Natural logarithm

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Category: Logarithms

11. Logarithm of a number consists of ___ parts.

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Category: Logarithms

12. Log xyz =

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Category: Logarithms

13. 3^5 =243 can be written in logarithmic form as

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Category: Logarithms

14. The characteristic of log 54.58 is

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Category: Logarithms

15. The Scientific notation of 0.00789 is

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Mathematics

ALGEBRAIC EXPRESSIONS AND FORMULAS

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Category: Algebraic Expression and Formulas

1. Every Polynomial is

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Category: Algebraic Expression and Formulas

2. 3x + 2y - 3 is an algebraic

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Category: Algebraic Expression and Formulas

3. Degree of polynomial 2x3 + x2 – 4x4 + 7x – 9 is

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Category: Algebraic Expression and Formulas

4. a2 + b2 + c2 + 2ab + 2bc + 2ca is equals to

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Category: Algebraic Expression and Formulas

5. √7 is an example of

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Category: Algebraic Expression and Formulas

6. ( x + y )( x – y )( x2 + y2 ) is equals to

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Category: Algebraic Expression and Formulas

7. a3 – 3ab(a – b) – b3 is equals to

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Category: Algebraic Expression and Formulas

8. Conjugate of – 2 – √3 is

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Category: Algebraic Expression and Formulas

9. Quotient p(x)/q(x) of two polynomials p(x) and q(x), where q(x) 0 is called

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Category: Algebraic Expression and Formulas

10. The degree of the 3x2y + 5y4 –10 is

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Category: Algebraic Expression and Formulas

11. A surd which contains sum of two monomial surds is called

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Category: Algebraic Expression and Formulas

12. (5+√15) (5 √15) is equals to

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Category: Algebraic Expression and Formulas

13. √(3x+5 ) is a/an

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Category: Algebraic Expression and Formulas

14. If a+b=5 and a-b=3, then the value of ab is

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Category: Algebraic Expression and Formulas

15. The process of multiplying a given surd by its rationalizing factors to get a rational number as product is called _________ of the given surd.

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Mathematics

FACTORIZATION

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Category: Factorization

1. Factors of x³ – 64y³

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Category: Factorization

2. Factors of  x3 – y3

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Category: Factorization

3. It is the process in which we express the given polynomial (expression) as a product of two or more expressions.

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Category: Factorization

4. Factors of  x² -

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Category: Factorization

5. Factors of a² +2ab+

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Category: Factorization

6. If x²+4x+m is a complete square, then m =

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Category: Factorization

7. Factors of  x2 – x – 6

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Category: Factorization

8. If 9x²+6x+m is a complete square, then m=

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Category: Factorization

9. Factors of a² +2a24

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Category: Factorization

10. Factors of x2+5x+6

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Category: Factorization

11. Factors of  a4 – b4

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Category: Factorization

12. Factors of  y3 – 27z3

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Category: Factorization

13. Factors of  y3 + 27z3

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Category: Factorization

14. Factors of  x3 + y3

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Category: Factorization

15. Factors of 16x² – y4

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Mathematics

ALGEBRAIC MANIPULATION

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1. Simplified form of 1/(x+y) + y/(x2 -y2) is _________.

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2. HCF of y2 – 4 and y – 2 is _________.

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3. HCF of a3 – 1 and a2 – 1 is ________.

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4. LCM of (2y + 3z)5 and (2y+3z)3 is _______.

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5. LCM of x3 + 1 and x + 1 is ________.

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6. HCF of x3 – y3 and x2 + xy +y2 is _________.

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7. LCM of (x – y)4 and (x – y)3 is _________.

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8. Simplified form of (a3 x3+a3 y3 )/(a2 (x+y))=

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9. LCM = _____________.

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10. HCF x LCM of two polynomials = _______.

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11. There are _____ methods to be used to find the H.C.F of polynomials

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12. HCF of a2 + 4a +3 and a2 + 5a + 6 is ______.

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13. HCF of x3 – 8y3 and x2 – 4xy +4y2 is __________.

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14. Simplified form of y/(25x2 -y2) - 1/(5x -y) is _________.

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15. LCM of x4 – y4 and x2 – y2 is ________.

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Mathematics

SETS AND FUNCTIONS

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Category: Sets and Functions

1. For any two non-empty sets A and B, AUB =U and A ∩ B = {}, then A and B are __________.

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Category: Sets and Functions

2. The complement of a set A is denoted by

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Category: Sets and Functions

3. The intersection of two sets A and B is denoted by

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Category: Sets and Functions

4. Which one is Subset of N?

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Category: Sets and Functions

5. The union of two sets A and B is denoted by

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Category: Sets and Functions

6. If (x,6) = (2,y -6) then x + y = ________.

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Category: Sets and Functions

7. The set of natural numbers is denoted by

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Category: Sets and Functions

8. Which of the following is a set notation?

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Category: Sets and Functions

9. If two sets have no common elements, they are called

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Category: Sets and Functions

10. Which one is commutative _________.

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Category: Sets and Functions

11. Which one is function ________.

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Category: Sets and Functions

12. The power set of a set A is

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Category: Sets and Functions

13. Which one is always bijective __________.

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Category: Sets and Functions

14. Which of the following is not an example of a finite set?

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Category: Sets and Functions

15. A  function is called surjective if range ________ co-domain.

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Mathematics

VARIATION

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Category: Variations

1. In a ratio l : m, l is called ___________.

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Category: Variations

2. If a, b & c are in continued proportion then b is called ___________ proportion between a & c.

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Category: Variations

3. If x / y = w / z then according to dividendo property is ____________.

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Category: Variations

4. If x : y = z : w then according to Componendo ___________.

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Category: Variations

5. In a proportion p : q :: r : s, p is called ________.

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Category: Variations

6. If a : 4 = 15 : 5 then a = _________. 

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Category: Variations

7. If p : q = r : s then p : r = q : s this property is called _________.

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Category: Variations

8. If a : b = c : d then according to invertendo property ___________.

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Category: Variations

9. In a ratio u : v, v is called _______________.

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Category: Variations

10. The mean proportional between a2 and b2 is ______________.

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Category: Variations

11. The fourth proportional to 3, 5, 12 is ____________.

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Category: Variations

12. If 2x, 3y and 6z are in continued proportion then _______.

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Category: Variations

13. If x + 5 : x + 7 = 5 : 7  then  x  is equal to __________. 

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Category: Variations

14. If 1, 9, x  and 45 are in proportion, then x = _______. 

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Category: Variations

15. Force and acceleration are in ___________.

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Mathematics

LINEAR EQUATION AND INEQUALITIES

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Category: Linear Equation and Inequalities

1. The solution set of √(5y+5 )+5=10 is

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Category: Linear Equation and Inequalities

2. The solution set of 5 – 3y = - 7 is

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Category: Linear Equation and Inequalities

3. The solution set of -2 ≤ x ≤ 2, x ∈ Z  is

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Category: Linear Equation and Inequalities

4. The solution set of √y= 10 is

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Category: Linear Equation and Inequalities

5. √(y+4 )+2=8 is a

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Category: Linear Equation and Inequalities

6. If x>0, y>0 and x-y<0, then

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Category: Linear Equation and Inequalities

7. The solution set of 3x + 7 = 4  is

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Category: Linear Equation and Inequalities

8. x ≤ 4 means

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Category: Linear Equation and Inequalities

9. The absolute value of a number is always

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Category: Linear Equation and Inequalities

10. The solution set of  l4yl = 8  is

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Category: Linear Equation and Inequalities

11. │-20│

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Category: Linear Equation and Inequalities

12. The solution set of linear equation in one variable has

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Category: Linear Equation and Inequalities

13. The solution set of │5y/3│= 5 is

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Category: Linear Equation and Inequalities

14. The solution set of │-y│= 0 is

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Category: Linear Equation and Inequalities

15. If symbol of equality "=" is involved in an open sentences then such open sentence is called a/an

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MATRICES AND DETERMINANTS

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Category: Matrices and Determinants

1. The horizontal line of entries in a matrix is called ___________.

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Category: Matrices and Determinants

2. A square matrix is called __________ matrix, if all the elements of matrix are zero except at least one element of main diagonal.

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Category: Matrices and Determinants

3. The vertical line of entries in a matrix is called ________ of a matrix.

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Category: Matrices and Determinants

4. A matrix in which number of rows is not equal to number of columns is called _________ matrix.

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Category: Matrices and Determinants

5. A zero/null matrix is a matrix in which each element is equal to _________.

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Category: Matrices and Determinants

6. If  m denotes the number of rows and n denotes the number of columns such that m=n, then matrix is called _______ matrix.

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Category: Matrices and Determinants

7. A singular matrix is also called __________ matrix.

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Category: Matrices and Determinants

8. A matrix is said to _______________ matrix if its transpose is equal to negative of itself.

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Category: Matrices and Determinants

9. If A = [2  3] and B= [-4  5] then A + B = ______________.

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Category: Matrices and Determinants

10. A _______ is a rectangular array of elements.

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Category: Matrices and Determinants

11. The matrices belongs to a field of mathematics, that is ___________.

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Category: Matrices and Determinants

12. A matrix having one row is called _______ matrix.

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Category: Matrices and Determinants

13. A non singular matrix is also called _____________ matrix.

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Category: Matrices and Determinants

14. _________ (1821-1895) was the first mathematician who developed the theory of matrices.

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Category: Matrices and Determinants

15. A matrix is obtained by interchanging the rows into columns or the columns into rows, is called ________ of the matrix.

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Category: Matrices and Determinants

16. A square matrix is said to be ___________ matrix it its transpose is equals to itself.

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Category: Matrices and Determinants

17. Two matrices are called _______ matrices, if they have same order and their corresponding elements are equal.

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Category: Matrices and Determinants

18. A matrix having one column is called _________ matrix.

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Category: Matrices and Determinants

19. The order or size of  a matrix is defined by the number of __________ it contains.

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Category: Matrices and Determinants

20. The ________ of a matrix is the transpose of the matrix of cofactors of that matrix.

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THEORY OF QUADRATIC EQUATIONS

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Category: Theory of Quadratic Equations

1. If Δ = b^2 -4ac, of a quadratic equation with real coefficient is perfect square, the roots are ________.

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Category: Theory of Quadratic Equations

2. If sum of the roots of (p+1)x^2 + (2p+3)x + (3p + 4) = 0, is -1, then product of the root is _________.

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Category: Theory of Quadratic Equations

3. The nature of the roots of ax^2 + bx + 0, a ≠ 0 is determined by _____________.

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Category: Theory of Quadratic Equations

4. If sum of the roots of a quadratic equation is b/a and the product of the roots is c/a, then equation is _____________.

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Category: Theory of Quadratic Equations

5. The area of a rectangular plot is 320m^2. The width of the plot is less 4m than the length of the plot. The length and width of the plot are _______.

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Category: Theory of Quadratic Equations

6. The solution of the system of equations x^2 + y^2 = 4 and 2x^2 - y^2 = 8 is __________.

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Category: Theory of Quadratic Equations

7. The quadratic equation equation whose roots are complex cube roots.

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Category: Theory of Quadratic Equations

8. If p, q are the roots of 2x^2 + 5x + 3 = 0, then p + q = ___________.

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Category: Theory of Quadratic Equations

9. For what value of p will 3x^2 + 5x + p = 0 have equal roots?

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Category: Theory of Quadratic Equations

10. If 1/α , 1/β are the roots of the ax^2 + bx + c =0, a ≠ 0, then α +β = ______________.

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Category: Theory of Quadratic Equations

11. The solution of system of equations 3x -2y=7 and xy = 20 is _______.

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Category: Theory of Quadratic Equations

12. The required equation whose roots are the reciprocal of the root of ax^2 + bx + c =0 is ____________.

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Category: Theory of Quadratic Equations

13. If one root of quadratic equation is 2 + 3, then other root will be ________.

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Category: Theory of Quadratic Equations

14. The cube root of -27 are __________.

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Category: Theory of Quadratic Equations

15. The discriminant of 2x^2 + 5x -4 = 0 is ______________.

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Category: Theory of Quadratic Equations

16. The cube roots of unity are _____________.

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Category: Theory of Quadratic Equations

17. If α,β are the roots of x^2 -2x -15 =0,  then the value of α^2 + β^2 = __________.

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Category: Theory of Quadratic Equations

18. A polynomial of second degree is called __________ equation.

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Category: Theory of Quadratic Equations

19. If α,β are the roots of the equation x^2 -5x + 6 =0, the equation whose roots are 2α + 1, 2β + 1 is ______________.

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Category: Theory of Quadratic Equations

20. For quadratic equations, the sum of the roots = _____________.

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Mathematics

LINEAR GRAPHS AND THEIR APPLICATIONS

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Category: Linear Graphs and their Applications

1. __________ is the vertical number line called in the Cartesian coordinate system.

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Category: Linear Graphs and their Applications

2. The line y = 4 is parallel to _______.

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Category: Linear Graphs and their Applications

3. The solution set of the line x=2 and x=-5 is ____________.

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Category: Linear Graphs and their Applications

4. The Cartesian Plane is also called ________ plane.

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Category: Linear Graphs and their Applications

5. The point (1,-2) lies in _____ quadrant.

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Category: Linear Graphs and their Applications

6. The line x= -5 is parallel to ____________.

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Category: Linear Graphs and their Applications

7. The (-3,-4) lies in the _______ quadrant.

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Category: Linear Graphs and their Applications

8. An ordered pair represents the position of a point in the _________ plane.

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Category: Linear Graphs and their Applications

9. The point where both coordinate axes intersect is called _____________.

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Category: Linear Graphs and their Applications

10. The line x = -5 has a point on x-axis is __________.

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Category: Linear Graphs and their Applications

11. _________ is the horizontal number line called in the Cartesian coordinate system.

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Category: Linear Graphs and their Applications

12. The two coordinate axes intersect at an angle of ________.

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Category: Linear Graphs and their Applications

13. The coordinate axes are mutually _____________.

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Category: Linear Graphs and their Applications

14. In __________ quadrant are both x and y coordinates negative.

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Category: Linear Graphs and their Applications

15. In 2nd quadrant both x and y coordinates are __________.

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Mathematics

QUADRATIC EQUATIONS

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Category: Quadratic Equations

1. 3^x + 3^2x = 1 is called ?

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Category: Quadratic Equations

2. An equation of the form 2x^4 -3x^3 + 7x^2 - 3x + 2 = 0 is called ?

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Category: Quadratic Equations

3. Equations involving radical expression of the variable are called ?

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Category: Quadratic Equations

4. Solution of 3^x = 9 is ?

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Category: Quadratic Equations

5. A Polynomial equation in which degree of variables is two called ?

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Category: Quadratic Equations

6. Standard foam of quadratic equation is ?

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Category: Quadratic Equations

7. Degree of ax^2 + bx + c = 0 is ?

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Category: Quadratic Equations

8. An equation of the type of 3^x + 3^x-2 + 6 =0 is ?

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Category: Quadratic Equations

9. Two linear factors of x^2 - 15x + 56 are ?

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Category: Quadratic Equations

10. Equations in which the variable occurs in exponent are called ?

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Category: Quadratic Equations

11. A value obtained, for an unknown in the solution of an equation which is not a root of the equation is called ?

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Category: Quadratic Equations

12. Solution set of x^2 + 10x +24 = 0 is ?

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Category: Quadratic Equations

13. The solution set of equation 4x^2 - 16 =0

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Category: Quadratic Equations

14. Polynomial equation, which remains unchanged when x is replaced by 1/x is called ?

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Category: Quadratic Equations

15. How many maximum roots of Quadratic Equation are?

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Mathematics

CONGRUENT TRIANGLES

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Category: Congruent Triangles

1. Sameness of size and shape in the mathematics called ____________.

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Category: Congruent Triangles

2. The Sum of the measures of acute angle of a right triangle is _____

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Category: Congruent Triangles

3. In an isosceles triangle, the base angle are_____.

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Category: Congruent Triangles

4. The sum of the measures of all angles in a triangle is ________.

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Category: Congruent Triangles

5. Which of the following is not sufficient condition for congurence of  two triangles?

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Category: Congruent Triangles

6. If  Δ ABC ≅  Δ DEF , m ∠F is equals to ____.

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Category: Congruent Triangles

7. In a right angled triangle , side opposite to right angle is called _______.

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Category: Congruent Triangles

8. In Δ ABC  Δ DEF, then side AC corresponds to _______

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Category: Congruent Triangles

9. How many acute angles are there in an acute angled triangle?

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Category: Congruent Triangles

10. The sum of measures of all angles in a quadrilateral is ________.

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Category: Congruent Triangles

11. If the measure of each of the angles of a triangle is 60 ° , then the triangle  is ____

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Category: Congruent Triangles

12. In an equilateral triangle. angles are of the _________ measurement.

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Category: Congruent Triangles

13. In Δ ABC , if <A  ≅ <B, then the bisector of ______ angle divides the triangle into congruent triangles.

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Category: Congruent Triangles

14. In Δ KLM  ↔ Δ PQR , then < MKL corresponds to _____

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Category: Congruent Triangles

15. The diagonal of _____ does not divide it into two congruent triangles.

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Mathematics

PARALLELOGRAM AND TRIANGLES

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Category: Parallelograms and Triangles

1. Sum of the measures of interior angles of a quadrilateral is equal to _____.

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Category: Parallelograms and Triangles

2. In a parallelogram, opposite sides are ______.

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Category: Parallelograms and Triangles

3. Measure of a line segment  joining the mid points of AB   and AC  of △ ABC  is 3.5 cm , then m BC  = ?

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Category: Parallelograms and Triangles

4. Diagonals of a square  are _____ to each other.

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Category: Parallelograms and Triangles

5. In a triangle, medians are _________.

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Category: Parallelograms and Triangles

6. In a parallelogram, opposite angles are ___________.

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Category: Parallelograms and Triangles

7. A point on median of a triangle is ______.

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Category: Parallelograms and Triangles

8. In a parallelogram, corresponding angles are ________.

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Category: Parallelograms and Triangles

9. Centroid is the common point of intersection of _____.

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Category: Parallelograms and Triangles

10. In a parallelogram, the diagonals are _______ each other.

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Category: Parallelograms and Triangles

11. Sum of the measures of interior angles of a quadrilateral is _______.

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Category: Parallelograms and Triangles

12. If the sum of the measures of angle A  and angle C of a parallelogram ABCD is 130° , then  measurement of angle B  = ?

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Category: Parallelograms and Triangles

13. The medians  of a  triangle are _______.

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Category: Parallelograms and Triangles

14. If opposite angles of a quadrilateral are equal in measures and none of them is a right angle ,then the quadrilateral is a

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Category: Parallelograms and Triangles

15. Two medians AD  and BE  of △ ABC  intersect each other at G. If m GD  = 1.7 cm, then m AG = ?

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Mathematics

LINE BISECTORS AND ANGLE BISECTORS

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Category: Line Bisectors and Angles Bisectors

1. Any point equidistant from the end points of a line segment is on the ______ of it.

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Category: Line Bisectors and Angles Bisectors

2. The bisector of the angles of a triangle are ________.

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Category: Line Bisectors and Angles Bisectors

3. __________ cuts the line segment into two equal parts at 90°.

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Category: Line Bisectors and Angles Bisectors

4. There are _______ acute angles in an acute angled triangle.

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Category: Line Bisectors and Angles Bisectors

5. The bisector of angles of a triangle are __________.

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Category: Line Bisectors and Angles Bisectors

6. Any point on the bisector of an angle is equidistant from its _______.

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Category: Line Bisectors and Angles Bisectors

7. ________ of the sides of an acute angled triangle intersect each other inside the triangle.

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Category: Line Bisectors and Angles Bisectors

8. A line, ray or segment is called bisector which cuts another line segment into _______ equal parts.

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Category: Line Bisectors and Angles Bisectors

9. _________ of a triangle is a line segment joining the midpoint of side to the opposite vertex.

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Category: Line Bisectors and Angles Bisectors

10. A right bisector of line segment can be defined as a line which bisects a line segment at _________ degrees.

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