Class 10th Math Quiz

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Category: Mathematics II

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

14

Mathematics II

SETS AND FUNCTIONS

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Category: Sets and Functions

1. Which of the following is a set notation?

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Category: Sets and Functions

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

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Category: Sets and Functions

3. Which one is function ________.

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Category: Sets and Functions

4. The power set of a set A is

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Category: Sets and Functions

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

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Category: Sets and Functions

6. Which one is always bijective __________.

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Category: Sets and Functions

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

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Category: Sets and Functions

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

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Category: Sets and Functions

9. The set of natural numbers is denoted by

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Category: Sets and Functions

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

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Category: Sets and Functions

11. Which one is commutative _________.

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Category: Sets and Functions

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

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Category: Sets and Functions

13. Which one is Subset of N?

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Category: Sets and Functions

14. The complement of a set A is denoted by

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Category: Sets and Functions

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

Your score is

The average score is 56%

0%

8

Mathematics II

VARIATION

tail-spin Class 10th Math Quiz

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Category: Variations

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

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Category: Variations

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

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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. The mean proportional between a2 and b2 is ______________.

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Category: Variations

5. Force and acceleration are in ___________.

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Category: Variations

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

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Category: Variations

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

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Category: Variations

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

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Category: Variations

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

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Category: Variations

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

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Category: Variations

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

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Category: Variations

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

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Category: Variations

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

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Category: Variations

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

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Category: Variations

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

Your score is

0%

4

Mathematics II

MATRICES AND DETERMINANTS

tail-spin Class 10th Math Quiz

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

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Category: Matrices and Determinants

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

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Category: Matrices and Determinants

5. A _______ is a rectangular array of elements.

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Category: Matrices and Determinants

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

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Category: Matrices and Determinants

7. 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

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

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Category: Matrices and Determinants

9. 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

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

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Category: Matrices and Determinants

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

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Category: Matrices and Determinants

12. 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

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

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Category: Matrices and Determinants

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

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Category: Matrices and Determinants

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

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Category: Matrices and Determinants

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

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Category: Matrices and Determinants

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

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Category: Matrices and Determinants

18. A singular matrix is also called __________ matrix.

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Category: Matrices and Determinants

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

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Category: Matrices and Determinants

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

Your score is

The average score is 21%

0%

7

Mathematics II

THEORY OF QUADRATIC EQUATIONS

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Category: Theory of Quadratic Equations

1. The cube roots of unity are _____________.

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Category: Theory of Quadratic Equations

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

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Category: Theory of Quadratic Equations

3. 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

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

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Category: Theory of Quadratic Equations

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

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Category: Theory of Quadratic Equations

6. 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

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

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Category: Theory of Quadratic Equations

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

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Category: Theory of Quadratic Equations

9. The cube root of -27 are __________.

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Category: Theory of Quadratic Equations

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

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Category: Theory of Quadratic Equations

11. 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

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

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Category: Theory of Quadratic Equations

13. 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

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

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Category: Theory of Quadratic Equations

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

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Category: Theory of Quadratic Equations

16. 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

17. 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

18. 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

19. 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

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

Your score is

The average score is 24%

0%

5

Mathematics II

PARTIAL FRACTION

tail-spin Class 10th Math Quiz

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Category: Partial Fractions

1. x^3+1/(x-1)(x+2) is _____.

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Category: Partial Fractions

2. The fraction 2x+5 /x2+5x +6 is known as ______.

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Category: Partial Fractions

3. An improper fraction can be reduced into proper fractions by_____.

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Category: Partial Fractions

4. Find the partial fractions of x-3/x^3+3x are _______. 

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Category: Partial Fractions

5. Partial fractions of x/(x-a)(x-b)(x- c) can have a form of _____.

Your score is

The average score is 32%

0%

4

Mathematics II

BASIC STATISTICS

tail-spin Class 10th Math Quiz

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Category: Basic Statistics

1. ______ are the numbers used to identify  a class.

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Category: Basic Statistics

2. Data is divided into _____types.

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Category: Basic Statistics

3. If data contain a number equal to 0, then ____cannot be computed. 

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Category: Basic Statistics

4. The constant difference between the LCL  of a class and UCL of the next class is ______.

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Category: Basic Statistics

5. If all numbers in data are equal, then ____.

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Category: Basic Statistics

6. _____ is the difference between highest and lowest observations in the data .

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Category: Basic Statistics

7. The number of classes is denoted by ____.

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Category: Basic Statistics

8. _____ in a grouped data with continuous classes are the arithmetic means of the class limit  or class boundaries of the classes.

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Category: Basic Statistics

9. The very basic form of data is know as _____.

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Category: Basic Statistics

10. _____ is the sum of all frequencies up to that class.

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Category: Basic Statistics

11. Class marks or mid points are denoted by ____.

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Category: Basic Statistics

12. The ________is a tabular description  of  a grouped data, consisting of classes and corresponding frequencies.

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Category: Basic Statistics

13. For each class, there is a smallest number  called  __________.

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Category: Basic Statistics

14. The spacing between the classes is denoted by ___.

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Category: Basic Statistics

15. For each class, there is a largest number  called _______.

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Category: Basic Statistics

16. _____ is defined as size /length of a class, computed by finding difference between ant two consecutive LCLs or UCLs.

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Category: Basic Statistics

17. ______ are used for graphical representation of quantitative data by using the frequency table with discrete and continuous classes.

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Category: Basic Statistics

18. The word ____ means something increasing by successive additions.

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Category: Basic Statistics

19. The numbers which separate a  class from  adjoining classes are called ______.

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Category: Basic Statistics

20. _____ is the branch of mathematics which deals with the collection ,organization ,representation and analysis of data

Your score is

The average score is 9%

0%

2

Mathematics II

PYTHAGORAS THEOREM

tail-spin Class 10th Math Quiz

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Category: Pythagoras Theorem

1. If hypotenuse of an isosceles right angled triangle is 3√2 cm , then each of other side is of length _____ cm.

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Category: Pythagoras Theorem

2. Which of the following are the sides of a right angled triangle?

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Category: Pythagoras Theorem

3. If 5 cm and  12 cm  are two sides of right angled  triangle ,then hypotenuse is __ cm.

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Category: Pythagoras Theorem

4. Diagonal of a rectangle measures 6.5 cm , if its width is 2.5 cm, its length is ___cm.

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Category: Pythagoras Theorem

5. In a right angled triangle ,the greatest angle is ____.

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Category: Pythagoras Theorem

6. In a right angled triangle  hypotenuse is opposite side to ______.

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Category: Pythagoras Theorem

7. If a, b, c  are the sides of right angled triangle , with c is the larger side ,then _____.

Your score is

The average score is 0%

0%

3

Mathematics II

RATIO AND PROPORTION

tail-spin Class 10th Math Quiz

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Category: Ratio and Proportion

1. The bisector of an angle  of equilateral triangle divides the opposite side in ___.

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Category: Ratio and Proportion

2. The corresponding sides of two similar triangles are ______.

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Category: Ratio and Proportion

3. In ratio 1:2, 2 is  called ______.

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Category: Ratio and Proportion

4. ____ is the comparison of two quantities of same kind with same unit.

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Category: Ratio and Proportion

5. If a line parallel to base of a triangle and divides one side in 2:3  then it will divide other side in _____.

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Category: Ratio and Proportion

6. In a proportion, the product of means is equal to ______of extremes.

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Category: Ratio and Proportion

7. Two equilateral triangles  are also ____.

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Category: Ratio and Proportion

8. If the ratio of corresponding sides of similar triangles  is 2:x and that of areais 4:9 then x = ____.

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Category: Ratio and Proportion

9. The ratio of a and b is written as _____.

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Category: Ratio and Proportion

10. The symbols of similarity  of triangles is _____.

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Category: Ratio and Proportion

11. If the ratio of two corresponding sides of similar triangle is 5:7 , then ratio of their  areas is equal to _____.

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Category: Ratio and Proportion

12. If the ratio of areas of two similar  triangles is 336:121 then the ratio of its  corresponding sides will be _____.

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Category: Ratio and Proportion

13. In ratio 25:18, 25 is called ______.

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Category: Ratio and Proportion

14. In Δ ABC , the bisector of <A divides BC in ratio ____ if m AB = 6 cm and m AC = 8 cm .

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Category: Ratio and Proportion

15. If a line intersect two sides of a triangle in a same ratio then it is ____to other side .

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Category: Ratio and Proportion

16. Equality of same ratios is called _______.

Your score is

The average score is 8%

0%

3

Mathematics II

CHORDS OF A CIRCLE

tail-spin Class 10th Math Quiz

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Category: Chords of a Circle

1. The hypothesis of the enunciation "One and only one circle can pass through three non-collinear points"is ______________.

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Category: Chords of a Circle

2. All circles are always _____.

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Category: Chords of a Circle

3. The hypothesis of the emunciaton "If two chords of a circle are congruent , then they are equidistant from the centre " is __________.

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Category: Chords of a Circle

4. The conclusion of the enunciation ,If two chords of the circle are congruent , then they are equidistant from the centre"is ______.

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Category: Chords of a Circle

5. One and only one circle passes through  three ______points.

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Category: Chords of a Circle

6. The conclusion of the enunciation "One and only one circle can pass through three non -collinear points" is ________.

Your score is

The average score is 5%

0%

2

Mathematics II

TANGENTS OF A CIRCLE

tail-spin Class 10th Math Quiz

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Category: Tangents of a Circle

1. Tangents drawn  at end points of a diameter of a circle are ______to each other.

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Category: Tangents of a Circle

2. In the adjacent  figure , AB is __________.

WhatsApp-Image-2024-07-16-at-11.49.46-AM-285x300 Class 10th Math Quiz

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Category: Tangents of a Circle

3. In the adjacent figure, circles with centres E and C ____.

WhatsApp-Image-2024-07-16-at-11.22.11-AM-297x300 Class 10th Math Quiz

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Category: Tangents of a Circle

4. Angle between the radial segment and tangent at its outer endpoint is _________.

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Category: Tangents of a Circle

5. If a point is outside the circle then from this point we  can draw ___ tangents  to the circle.

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Category: Tangents of a Circle

6. The maximum number of common tangents between two circles touching externally is ____.

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Category: Tangents of a Circle

7. In the adjacent figure, CDE is _____.

WhatsApp-Image-2024-07-16-at-11.49.46-AM-285x300 Class 10th Math Quiz

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Category: Tangents of a Circle

8. The maximum number of common  tangents between two circles touching internally is ____.

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Category: Tangents of a Circle

9. In the adjacent figure, circles with centres B and C have ___ point(s) of contact.

WhatsApp-Image-2024-07-16-at-11.22.11-AM-297x300 Class 10th Math Quiz

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Category: Tangents of a Circle

10. In adjacent figure, circles with centres  E and C have ___ point(s) of contact.

WhatsApp-Image-2024-07-16-at-11.22.11-AM-297x300 Class 10th Math Quiz

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Category: Tangents of a Circle

11. In the adjacent figure ,the point of tangency is __.

WhatsApp-Image-2024-07-16-at-11.49.46-AM-285x300 Class 10th Math Quiz

Your score is

The average score is 0%

0%

2

Mathematics II

CHORDS AND ARCS

tail-spin Class 10th Math Quiz

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Category: Chords of a Circle

1. A circle is an example of a _____ curve.

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Category: Chords and Arcs

2. Out of two congruent arcs of the circle ,if one arc makes a central angle of 30° then the other arc will subtend the central angle :

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Category: Chords and Arcs

3. If a chord of a circle  subtends, a central angle of 60° ,then the chord and the radial segment are_______.

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Category: Chords and Arcs

4. The chord length of a circle subtending a central angle of 180° is always ______.

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Category: Chords of a Circle

5. One and only one circle passes through  three ______points.

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Category: Chords and Arcs

6. A pair of chords of a circle subtending two congruent central angles are ____.

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Category: Chords of a Circle

7. The conclusion of the enunciation "One and only one circle can pass through three non -collinear points" is ________.

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Category: Chords of a Circle

8. The conclusion of the enunciation ,If two chords of the circle are congruent , then they are equidistant from the centre"is ______.

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Category: Chords of a Circle

9. The hypothesis of the enunciation "One and only one circle can pass through three non-collinear points"is ______________.

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Category: Chords and Arcs

10. An arc subtends a central angle of 45° then the corresponding chords will subtend a central angle of ?

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Category: Chords and Arcs

11. The arc opposite to congruent central angles of a circle are always________.

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Category: Chords of a Circle

12. All circles are always _____.

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Category: Chords and Arcs

13. A 6 cm long  chord  subtends a central angle of 60° ,The redial  segment of this circle is _____.

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Category: Chords and Arcs

14. The length of the chord and the redial segment of a circle are congruent ,the central angle made by the chord will be _____.

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Category: Chords of a Circle

15. The hypothesis of the emunciaton "If two chords of a circle are congruent , then they are equidistant from the centre " is __________.

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Category: Chords and Arcs

16. Diameter divides the circle in to ____ parts.

Your score is

The average score is 0%

0%

2

Mathematics II

ANGLES IN A SEGMENT OF A CIRCLE

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Category: Angle in a Segment of a Circle

1. The central angle of an arc is __ than inscribed angle of corresponding arc .

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Category: Angle in a Segment of a Circle

2. Inscribed  angle of ______ is obtuse.

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Category: Angle in a Segment of a Circle

3. A parallelogram inscribed in a circle is _______.

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Category: Angle in a Segment of a Circle

4. If 2x is the measure of inscribed angle of minor arc then the central angle of corresponding major arc is ______.

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Category: Angle in a Segment of a Circle

5. The inscribed angle of major arc of the circle  is ________ angle.

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Category: Angle in a Segment of a Circle

6. The inscribed angle of minor arc of the circle is ______angle.

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Category: Angle in a Segment of a Circle

7. _______is the circular region bounded by arc and its chords.

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Category: Angle in a Segment of a Circle

8. If 2x and 60° are the measures of inscribed angles of same segment then x  = ___.

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Category: Angle in a Segment of a Circle

9. The sum of central angles of all the arcs of a circle is _______.

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Category: Angle in a Segment of a Circle

10. Sum of opposite angles of cyclic quadrilateral is _______.

Your score is

The average score is 0%

0%

2

Mathematics II

PRACTICAL GEOMETRY CIRCLE

tail-spin Class 10th Math Quiz

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Category: Practical Geometry - Circles

1. A circle which touches  one side of the triangle externally and two produced sides internally is called ____.

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Category: Practical Geometry - Circles

2. ______ circles can pass through a single point.

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Category: Practical Geometry - Circles

3. Right bisectors of sides of a triangle intersect each other at ______.

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Category: Practical Geometry - Circles

4. A circle which touches al the sides of the triangle is called ________.

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Category: Practical Geometry - Circles

5. ______ angles of regular polygon are equal in measures.

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Category: Practical Geometry - Circles

6. The point of intersection of internal bisectors of angles of a triangle is _________.

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Category: Practical Geometry - Circles

7. If a regular hexagon is inscribed in a circle then length of each side of hexagon _____ radius of the circle.

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Category: Practical Geometry - Circles

8. ________ circles can pass through  three non - collinear points.

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Category: Practical Geometry - Circles

9. ___ common tangents do not intersect line segment joining the centres of the circle.

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Category: Practical Geometry - Circles

10. The centre  of inscribed circle  is called _____.

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Category: Practical Geometry - Circles

11. If two circles of radii 5 cm and 2 cm touch each other internally then the distance between their centres is ____.

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Category: Practical Geometry - Circles

12. Two  or more converging lines always intersect each other at _______.

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Category: Practical Geometry - Circles

13. Angle between tangent and radial segment at the point of contact is _________angle.

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Category: Practical Geometry - Circles

14. Three or more sided closed figure is called _______.

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Category: Practical Geometry - Circles

15. right bisectors of  non parallel ______intersect at the entre of the circle.

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Category: Practical Geometry - Circles

16. Each interior angle of regular hexagon is equal to ______.

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Category: Practical Geometry - Circles

17. ____ common tangents of two equal circles intersect at the midpoint of of the line segment joining the centers of the circles.

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Category: Practical Geometry - Circles

18. Direct common tangents of two  equal circle are ____.

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Category: Practical Geometry - Circles

19. The central angle of circle joining the points of contact of tangents is ______of the angle between the tangent.

Your score is

The average score is 0%

0%

8

Mathematics II

INTRODUCTION TO TRIGONOMETRY

tail-spin Class 10th Math Quiz

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Category: Introduction to Trigonometry

1. The union of two non -collinear rays at common vertex is called _______.

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Category: Introduction to Trigonometry

2. In unit circle for point (x , y) ,  sin θ =_______.

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Category: Introduction to Trigonometry

3. 5  π /4 radians = ____.

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Category: Introduction to Trigonometry

4. Cosec θ .sin θ = _____.

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Category: Introduction to Trigonometry

5. 1/2  sec 45 ° = ______.

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Category: Introduction to Trigonometry

6. If an object is above the level of an observer then the angle formed between the horizontal line and the observer 's line of sight is called __________.

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Category: Introduction to Trigonometry

7. 10° = _____.

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Category: Introduction to Trigonometry

8. Sec  ^2 θ- tan ^2 θ = _______.

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Category: Introduction to Trigonometry

9. If sin θ = - 1/ √2 and  θ lies in the 3rd quadrant , then tan θ  = ?

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Category: Introduction to Trigonometry

10. The system of measurement in which angle is measured in radian is called ________.

Your score is

0%

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