Class 10th Mathematics QUIZZES

Class 10th Mathematics Quizzes are chapter-wise for students.Test your knowledge, identify areas for improvement, and excel in your exams with our engaging and interactive quizzes. Start practicing now and achieve your goals. These quizzes are perfect for students seeking to excel in mathematics.

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Unit 17 Sets and Functions

Mathematics II

SETS AND FUNCTIONS

1 / 15

Category: Sets and Functions

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

The set of students in a classroom

The set of real numbers

The set of vowels

The set of months in a year

2 / 15

Category: Sets and Functions

2. The complement of a set A is denoted by

A∩B

A∆B

A∪B

3 / 15

Category: Sets and Functions

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

A ⊆ B

A ∩ B

A ∪ B

A ⊂ B

4 / 15

Category: Sets and Functions

4. Which one is always bijective __________.

One-One function

Into function

One-One correspondence

Onto function

5 / 15

Category: Sets and Functions

5. Which of the following is a set notation?

( )

∅

{ }

[ ]

6 / 15

Category: Sets and Functions

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

A ∪ B

A ⊂ B

A ⊆ B

A ∩ B

7 / 15

Category: Sets and Functions

7. Which one is function ________.

{ (2,5), (2,7), (3,8) }

none of these

{ (6,7), (7,6), (6,8) }

{ (0,5), (6,0), (5,6) }

8 / 15

Category: Sets and Functions

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

Infinite sets

Equivalent sets

Disjoint sets

Finite sets

9 / 15

Category: Sets and Functions

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

10 / 15

Category: Sets and Functions

10. Which one is commutative _________.

Difference

Union

Cartesian Product

None

11 / 15

Category: Sets and Functions

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

all of these

equals to

super set

subset

12 / 15

Category: Sets and Functions

12. The power set of a set A is

The set containing only the empty set

The set containing only the universal set

The set containing all subsets of A

The set containing all elements of A

13 / 15

Category: Sets and Functions

13. Which one is Subset of N?

14 / 15

Category: Sets and Functions

14. The set of natural numbers is denoted by

15 / 15

Category: Sets and Functions

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

equal sets

cells

none

overlapping sets

Your score is

The average score is 58%

Unit 18 Variations

Mathematics II

VARIATION

1 / 15

Category: Variations

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

2 / 15

Category: Variations

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

9y2 = xz

y2 = 12xy

9 y2 = 12xz

3y2 = 4xz

3 / 15

Category: Variations

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

a + b / b = c + d

a / c = b / d

a / b = c / d

b / a = d / c

4 / 15

Category: Variations

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

x + y / y = w + z / z

x - y / y = w - z / z

None of these

x / x + y = w / w + z

5 / 15

Category: Variations

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

alternando

invertendo

componendo

dividendo

6 / 15

Category: Variations

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

x - y / x + y = z - w / z + w

x / x+y = z / z+w

x / x - y = z / z - w

x - y / y = z - w / w

7 / 15

Category: Variations

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

none of these

consequent

antecedent

relation

8 / 15

Category: Variations

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

9 / 15

Category: Variations

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

none of these

antecedent

consequent

relation

10 / 15

Category: Variations

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

3rd

1st

mean

none of these

11 / 15

Category: Variations

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

fourth proportional

third proportional

first proportional

mean

12 / 15

Category: Variations

12. Force and acceleration are in ___________.

joint proportion

direct proportion

inverse proportion

None of these

13 / 15

Category: Variations

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

a/b

-ab

√ab

14 / 15

Category: Variations

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

-1

15 / 15

Category: Variations

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

405

1/5

Your score is

Unit 19 Matrices and Determinants

Mathematics II

MATRICES AND DETERMINANTS

1 / 20

Category: Matrices and Determinants

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

1. difference

2. adjoint

3. sum

4. inverse

2 / 20

Category: Matrices and Determinants

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

1. skew-symmetric

2. symmetrix

3. identity

4. null

3 / 20

Category: Matrices and Determinants

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

1. transpose

2. diagonal

3. unit

4. scalar

4 / 20

Category: Matrices and Determinants

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

1. Square

2. Equal

3. Rectangular

4. Null

5 / 20

Category: Matrices and Determinants

5. A singular matrix is also called __________ matrix.

1. identity

2. null

3. non-invertible

4. invertible

6 / 20

Category: Matrices and Determinants

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

1. identity

2. scalar

3. null

4. equal

7 / 20

Category: Matrices and Determinants

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

1. identity

2. unit

3. transpose

4. null

8 / 20

Category: Matrices and Determinants

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

1. null

2. symmetric

3. unit

4. skew-symmetric

9 / 20

Category: Matrices and Determinants

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

1. rows and columns

2. columns

3. elements

4. rows

10 / 20

Category: Matrices and Determinants

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

1. trigonometry

2. arithematic

3. geometry

4. linear algebra

11 / 20

Category: Matrices and Determinants

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

1. Column

2. Row

3. Matrix

4. Zero

12 / 20

Category: Matrices and Determinants

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

1. row

2. identity

3. null

4. column

13 / 20

Category: Matrices and Determinants

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

1. Pascal

2. Ohm

3. Arthur Cayley

4. Faraday

14 / 20

Category: Matrices and Determinants

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

1. scalar

2. square

3. rectangle

4. zero

15 / 20

Category: Matrices and Determinants

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

1. one

2. x

3. y

4. zero

16 / 20

Category: Matrices and Determinants

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

1. [-6 -2]

2. [-2 8]

3. [0 0]

4. [3 5]

17 / 20

Category: Matrices and Determinants

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

1. invertible

2. null

3. non-invertible

4. identity

18 / 20

Category: Matrices and Determinants

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

1. row

2. column

3. matrix

4. zero

19 / 20

Category: Matrices and Determinants

19. A _______ is a rectangular array of elements.

1. entry

2. order

3. element

4. matrix

20 / 20

Category: Matrices and Determinants

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

1. null

2. zero

3. row

4. column

Your score is

The average score is 21%

Unit 20 Theory of Quadratic Equations

Mathematics II

THEORY OF QUADRATIC EQUATIONS

1 / 20

Category: Theory of Quadratic Equations

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

{(-2,0), (2,0)}

{(2,2),(-2,0)}

{(2,-1),(1,-2)}

{(1,0),(-1,0)}

2 / 20

Category: Theory of Quadratic Equations

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

coefficient of x^2/ constant term

- coefficient of x/ coefficient of x^2

constant term / coefficient of x^2

- coefficient of x / constant term

3 / 20

Category: Theory of Quadratic Equations

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

product of the roots

none of these

sum of the roots

discriminant

4 / 20

Category: Theory of Quadratic Equations

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

x^2 + 12x + 35 = 0

6x^2 - 5x + 1 =0

6x^2 - 35x + 25 = 0

6x^2 -13x + 6 =0

5 / 20

Category: Theory of Quadratic Equations

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

ax^2 + bx + c =0

ax^2 - bx - c =0

ax^2 - bx + c =0

ax^2 + bx - c =0

6 / 20

Category: Theory of Quadratic Equations

6. The cube root of -27 are __________.

3, 3ω, 3ω^2

-3, -3ω, -3ω^2

3, -3ω, 3ω^2

3, 3ω, -3ω^2

7 / 20

Category: Theory of Quadratic Equations

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

p = 25/12

p less than -25/12

P greater than 25/12

8 / 20

Category: Theory of Quadratic Equations

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

cx^2 +ax + b =0

cx^2 + bx +a =0

ax^2 +bx +c =0

cx^2 -bx -a =0

9 / 20

Category: Theory of Quadratic Equations

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

real, rational and unequal

real, irrational and unequal

real and equal

imaginary

10 / 20

Category: Theory of Quadratic Equations

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

{(-5,-4)}

{(-5,4)}

{(5,4)}

{(5,-4)}

11 / 20

Category: Theory of Quadratic Equations

11. The cube roots of unity are _____________.

1, ω, -ω^2

-1, -ω, ω^2

-1, ω, ω^2

1, ω, ω^2

12 / 20

Category: Theory of Quadratic Equations

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

13 / 20

Category: Theory of Quadratic Equations

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

Cubic

None of these

Linear

Quadratic

14 / 20

Category: Theory of Quadratic Equations

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

15 / 20

Category: Theory of Quadratic Equations

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

-26

-34

16 / 20

Category: Theory of Quadratic Equations

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

x^2 + x + 1 = 0

x^2 - x + 1 = 0

x^2 - x -1 =0

x^2 + x -1 = 0

17 / 20

Category: Theory of Quadratic Equations

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

5/3

3/5

5/2

- 5/2

18 / 20

Category: Theory of Quadratic Equations

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

-2 - √3

2 - √3

-2 + √3

19 / 20

Category: Theory of Quadratic Equations

19. 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 _______.

22,18

35,31

12,8

20,16

20 / 20

Category: Theory of Quadratic Equations

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

-c/a

-b/c

- b/a

b/c

Your score is

The average score is 24%

Unit 21 Partial Fractions

Mathematics II

PARTIAL FRACTION

1 / 5

Category: Partial Fractions

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

An improper fraction

Proper fraction

A constant term

An identity

2 / 5

Category: Partial Fractions

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

Addition

Division

Multiplication

Subtraction

3 / 5

Category: Partial Fractions

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

1/x - x+1/x^2+3

-1/x + x+1/x^2+3

-1/x -x-1/x^2+3

1/x +x+1/x^2+3

4 / 5

Category: Partial Fractions

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

A/(x+ a) + B/(x+ b) + C/(x+ c)

None of these

A/(x- a) + B/(x- b) + C/(x- c)

A/(x+a) + B/(x- b) + C/(x+ c)

5 / 5

Category: Partial Fractions

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

Both proper and improper

Proper fraction

None of these

Improper fraction

Your score is

The average score is 32%

Unit 22 Basic Statistics

Mathematics II

BASIC STATISTICS

1 / 20

Category: Basic Statistics

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

Cumulative frequency

class boundaries

range

2 / 20

Category: Basic Statistics

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

3 / 20

Category: Basic Statistics

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

class boundaries

Class limits

Class marks

4 / 20

Category: Basic Statistics

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

All of these

Range =0

S.D = 0

A.M=G.M=H.M

5 / 20

Category: Basic Statistics

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

6 / 20

Category: Basic Statistics

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

Algebra

Statistics

Trignometry

7 / 20

Category: Basic Statistics

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

Lower class limit

Upper class limit

Range

8 / 20

Category: Basic Statistics

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

Cumulative

Assosiative

Distibutive

9 / 20

Category: Basic Statistics

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

Class limits

Class interval

Range

10 / 20

Category: Basic Statistics

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

Bar graphs

Pie charts

Histograms

11 / 20

Category: Basic Statistics

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

Class interval

Class boundaries

Class limits

12 / 20

Category: Basic Statistics

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

Lower Class Limit

Class interval

Class limits

13 / 20

Category: Basic Statistics

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

Frequency

classes

Frequency distribution

14 / 20

Category: Basic Statistics

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

Upper class limit

Lower class limit

Class interval

15 / 20

Category: Basic Statistics

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

A.M

G.M

Median

H.M

16 / 20

Category: Basic Statistics

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

Difference between the classes

Adding between the classes

Spacing between the classes

17 / 20

Category: Basic Statistics

17. The number of classes is denoted by ____.

18 / 20

Category: Basic Statistics

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

Quantitative data

Raw data

Qualitative data

19 / 20

Category: Basic Statistics

19. Data is divided into _____types.

Three

Four

Two

20 / 20

Category: Basic Statistics

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

Range

Class limits

Frequency

Your score is

The average score is 9%

Unit 23 Pythagoras Theorem

Mathematics II

PYTHAGORAS THEOREM

1 / 7

Category: Pythagoras Theorem

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

3, 4, 5

5, 6, 7

2, 3, 4

4, 5, 6

2 / 7

Category: Pythagoras Theorem

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

90°

110°

80°

100°

3 / 7

Category: Pythagoras Theorem

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

4 / 7

Category: Pythagoras Theorem

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

a^2+c^2=b^2

b^2+c^2=a^2

a^2-b^2=c^2

a^2+b^2=c^2

5 / 7

Category: Pythagoras Theorem

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

6 / 7

Category: Pythagoras Theorem

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

7 / 7

Category: Pythagoras Theorem

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

None

Acute angle

Right angle

Obtuse angle

Your score is

The average score is 0%

Unit 24 Ratio and Proportion

Mathematics II

RATIO AND PROPORTION

1 / 16

Category: Ratio and Proportion

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

a>b

a<b

b:a

a:b

2 / 16

Category: Ratio and Proportion

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

2:3

1:2

1:1

3:2

3 / 16

Category: Ratio and Proportion

3. In ratio 1:2, 2 is called ______.

Ratio

Consequent

Antecedent

Proportion

4 / 16

Category: Ratio and Proportion

4. Two equilateral triangles are also ____.

Similar

Congruent

Proportional

Equivalent

5 / 16

Category: Ratio and Proportion

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

Proportion

Consequent

Ratio

Antecedent

6 / 16

Category: Ratio and Proportion

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

None

-3

Both

7 / 16

Category: Ratio and Proportion

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

25:49

25:7

5:7

7:5

8 / 16

Category: Ratio and Proportion

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

Equal

un equal

Proportional

None of these

9 / 16

Category: Ratio and Proportion

9. The symbols of similarity of triangles is _____.

≅

↔︎

10 / 16

Category: Ratio and Proportion

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

All of these

Parallel

Coincident

Non Parallel

11 / 16

Category: Ratio and Proportion

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

Antecedent

Proporation

Consequent

Ratio

12 / 16

Category: Ratio and Proportion

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

Product

Difference

Sum

Quotient

13 / 16

Category: Ratio and Proportion

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

10:6

11:6

6:10

6:11

14 / 16

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 .

5:8

1:1

5:7

3:4

15 / 16

Category: Ratio and Proportion

15. Equality of same ratios is called _______.

Antecedent

Ratio

Conssequent

Proportion

16 / 16

Category: Ratio and Proportion

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

3:2

2:6

2:3

5:3

Your score is

The average score is 8%

Unit 25 Chords of a chord

Mathematics II

CHORDS OF A CIRCLE

1 / 6

Category: Chords of a Circle

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

Two chords of a circle are eduidistant from the center

A circle has two chords

Two chords of a circle are congruent

The centre of circle is eduidistant from chords

2 / 6

Category: Chords of a Circle

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

The centre of circle is equidistant from chords

Two chords of a circle are congruent

Two chords of a circle are eduidistant from the center

A circle has two chords

3 / 6

Category: Chords of a Circle

3. All circles are always _____.

None of these

Similar

Congruent

Tangent

4 / 6

Category: Chords of a Circle

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

Three points are collinear.

One and only one circle passes through three points.

Three points are non collinear.

Two circles pass through three points.

5 / 6

Category: Chords of a Circle

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

One and only one circle passes through three points.

Three points are non-collinear.

Three points are coolinear.

Two circles pass through three points.

6 / 6

Category: Chords of a Circle

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

Disjoint

Non - Collinear

Collinear

None of these

Your score is

The average score is 5%

Unit 26 Tangents of a Circle

Mathematics II

TANGENTS OF A CIRCLE

1 / 11

Category: Tangents of a Circle

1. In the adjacent figure , AB is __________.

WhatsApp-Image-2024-07-16-at-11.49.46-AM-285x300 Class 10th Mathematics QUIZZES

Tangent

None of these

Chord

Secant

2 / 11

Category: Tangents of a Circle

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

3 / 11

Category: Tangents of a Circle

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

Three

None

Two

One

4 / 11

Category: Tangents of a Circle

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

120°

60°

45°

90°

5 / 11

Category: Tangents of a Circle

5. In the adjacent figure, CDE is _____.

None of these

Chord

Tangent

Secant

6 / 11

Category: Tangents of a Circle

6. 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 Mathematics QUIZZES

One

None of these

Two

7 / 11

Category: Tangents of a Circle

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

Two

None of these

One

8 / 11

Category: Tangents of a Circle

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

Corresponding

Intersecting

Perpendicular

Parallel

9 / 11

Category: Tangents of a Circle

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

Touch externally

Are congruent

Touch internally

Do not touch

10 / 11

Category: Tangents of a Circle

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

11 / 11

Category: Tangents of a Circle

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

Your score is

The average score is 0%

Unit 27 Chords and Arcs

Mathematics II

CHORDS AND ARCS

1 / 16

Category: Chords of a Circle

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

Three points are coolinear.

Two circles pass through three points.

One and only one circle passes through three points.

Three points are non-collinear.

2 / 16

Category: Chords and Arcs

2. Diameter divides the circle in to ____ parts.

Two

All of these

Four

Three

3 / 16

Category: Chords of a Circle

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

None of these

Non - Collinear

Collinear

Disjoint

4 / 16

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 ______.

A circle has two chords

Two chords of a circle are eduidistant from the center

The centre of circle is equidistant from chords

Two chords of a circle are congruent

5 / 16

Category: Chords and Arcs

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

None of these

Congruent

Perpendicular

Incongruent

6 / 16

Category: Chords of a Circle

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

Two chords of a circle are congruent

A circle has two chords

The centre of circle is eduidistant from chords

Two chords of a circle are eduidistant from the center

7 / 16

Category: Chords and Arcs

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

Incongruent

Congruent

Parallel

Perpendicular

8 / 16

Category: Chords of a Circle

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

Non Simple and open

Simple and closed

Simple and open

Non -simple and closed

9 / 16

Category: Chords of a Circle

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

Two circles pass through three points.

Three points are non collinear.

Three points are collinear.

One and only one circle passes through three points.

10 / 16

Category: Chords of a Circle

10. All circles are always _____.

None of these

Tangent

Congruent

Similar

11 / 16

Category: Chords and Arcs

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

75°

45°

60°

90°

12 / 16

Category: Chords and Arcs

12. 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 :

30°

75°

60°

90°

13 / 16

Category: Chords and Arcs

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

Double of redial segment

Equal to the redial segment

Less than redial segment

Half of redial segment

14 / 16

Category: Chords and Arcs

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

45°

15°

60°

30°

15 / 16

Category: Chords and Arcs

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

6 cm

8 cm

5 cm

4 cm

16 / 16

Category: Chords and Arcs

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

Parallel

None of these

Perpendicular

Congruent

Your score is

The average score is 0%

Unit 28 Angles in a Segment of a Circle

Mathematics II

ANGLES IN A SEGMENT OF A CIRCLE

1 / 10

Category: Angle in a Segment of a Circle

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

2 / 10

Category: Angle in a Segment of a Circle

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

180°

360°

270°

90°

3 / 10

Category: Angle in a Segment of a Circle

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

Circumference

Sector

Segment

Major arc

4 / 10

Category: Angle in a Segment of a Circle

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

Less

Less or equal

Greater or equal

Greater

5 / 10

Category: Angle in a Segment of a Circle

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

Obtuse

Right

Reflex

Acute

6 / 10

Category: Angle in a Segment of a Circle

6. A parallelogram inscribed in a circle is _______.

Kite

Rectangle

Trapezium

Rhombus

7 / 10

Category: Angle in a Segment of a Circle

7. Inscribed angle of ______ is obtuse.

Major arc

Minor arc

All of these

Semi circle

8 / 10

Category: Angle in a Segment of a Circle

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

Reflex

Obtuse

Acute

Right

9 / 10

Category: Angle in a Segment of a Circle

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

30°

20°

120°

60°

10 / 10

Category: Angle in a Segment of a Circle

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

360 °

100°

90°

180°

Your score is

The average score is 0%

Unit 29 Practical Geometry

Mathematics II

PRACTICAL GEOMETRY CIRCLE

1 / 19

Category: Practical Geometry - Circles

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

Equal

Coincident

Intersecting

Parallel

2 / 19

Category: Practical Geometry - Circles

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

External

Transverse

Parallel

Direct

3 / 19

Category: Practical Geometry - Circles

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

More than one point

Single point

Two points

None of these

4 / 19

Category: Practical Geometry - Circles

4. ______ circles can pass through a single point.

Infinite

Three

Two

one

5 / 19

Category: Practical Geometry - Circles

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

Tricircle

Circumcircle

Excircle

Incircle

6 / 19

Category: Practical Geometry - Circles

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

Cube

Complement

Square

Supplement

7 / 19

Category: Practical Geometry - Circles

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

Tangents

Radial segment

None of these

Chords

8 / 19

Category: Practical Geometry - Circles

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

None of these

Exterior

Interior

Interior & exterior both

9 / 19

Category: Practical Geometry - Circles

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

One

Infinite

Three

Two

10 / 19

Category: Practical Geometry - Circles

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

Excentre

Circumcentre

Incentre

Centroid

11 / 19

Category: Practical Geometry - Circles

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

Right

Obtuse

Reflex

Acute

12 / 19

Category: Practical Geometry - Circles

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

Vertical

Direct

Internal

Transervse

13 / 19

Category: Practical Geometry - Circles

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

≤

14 / 19

Category: Practical Geometry - Circles

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

120°

108°

135°

90°

15 / 19

Category: Practical Geometry - Circles

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

Pentagon

Polygon

Hexagon

Heptagon

16 / 19

Category: Practical Geometry - Circles

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

Excentre

Centroid

Incentre

Circumcentre

17 / 19

Category: Practical Geometry - Circles

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

7 cm

10 cm

5cm

3 cm

18 / 19

Category: Practical Geometry - Circles

18. The centre of inscribed circle is called _____.

Centroid

In centre

Orthocentre

Excentre

19 / 19

Category: Practical Geometry - Circles

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

Excircle

Circumcircle

Tricircle

Incircle

Your score is

The average score is 0%

Unit 30 Introduction to Trigonometry

Mathematics II

INTRODUCTION TO TRIGONOMETRY

1 / 10

Category: Introduction to Trigonometry

1. 1/2 sec 45 ° = ______.

√2 / 2

√2

2/√2

1/√2

2 / 10

Category: Introduction to Trigonometry

2. 10° = _____.

600

600'

600"

3600"

3 / 10

Category: Introduction to Trigonometry

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

Radian

A degree

A minute

An angle

4 / 10

Category: Introduction to Trigonometry

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

-Y

-X

5 / 10

Category: Introduction to Trigonometry

5. 5 π /4 radians = ____.

115°

135°

45°

225°

6 / 10

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 __________.

An angle of depression

None of these

An obtuse angle

An angle of elevation

7 / 10

Category: Introduction to Trigonometry

7. Sec ^2 θ- tan ^2 θ = _______.

Cos ^ θ

-1

8 / 10

Category: Introduction to Trigonometry

8. Cosec θ .sin θ = _____.

0.5

-1

9 / 10

Category: Introduction to Trigonometry

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

Circular system

MKS system

Sexagesimal

CGS system

10 / 10

Category: Introduction to Trigonometry

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

-1

1 / √2

Your score is

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Class 10th Mathematics QUIZZES

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