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

tail-spin Class 10th Math Quiz

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Category: Sets and Functions

Which one is Subset of N?

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Category: Sets and Functions

Which one is commutative _________.

3 / 15

Category: Sets and Functions

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

4 / 15

Category: Sets and Functions

Which one is function ________.

5 / 15

Category: Sets and Functions

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

6 / 15

Category: Sets and Functions

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

7 / 15

Category: Sets and Functions

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

8 / 15

Category: Sets and Functions

The intersection of two sets A and B is denoted by

9 / 15

Category: Sets and Functions

The set of natural numbers is denoted by

10 / 15

Category: Sets and Functions

Which one is always bijective __________.

11 / 15

Category: Sets and Functions

The power set of a set A is

12 / 15

Category: Sets and Functions

If two sets have no common elements, they are called

13 / 15

Category: Sets and Functions

Which of the following is a set notation?

14 / 15

Category: Sets and Functions

The complement of a set A is denoted by

15 / 15

Category: Sets and Functions

The union of two sets A and B is denoted by

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

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

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Category: Variations

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

3 / 15

Category: Variations

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

4 / 15

Category: Variations

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

5 / 15

Category: Variations

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

6 / 15

Category: Variations

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

7 / 15

Category: Variations

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

8 / 15

Category: Variations

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

9 / 15

Category: Variations

The mean proportional between a2 and b2 is ______________.

10 / 15

Category: Variations

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

11 / 15

Category: Variations

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

12 / 15

Category: Variations

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

13 / 15

Category: Variations

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

14 / 15

Category: Variations

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

15 / 15

Category: Variations

Force and acceleration are in ___________.

Your score is

0%

4

Mathematics II

MATRICES AND DETERMINANTS

tail-spin Class 10th Math Quiz

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Category: Matrices and Determinants

A non singular matrix is also called _____________ matrix.

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Category: Matrices and Determinants

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

3 / 20

Category: Matrices and Determinants

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

4 / 20

Category: Matrices and Determinants

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

5 / 20

Category: Matrices and Determinants

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

6 / 20

Category: Matrices and Determinants

A matrix having one column is called _________ matrix.

7 / 20

Category: Matrices and Determinants

A matrix having one row is called _______ matrix.

8 / 20

Category: Matrices and Determinants

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

9 / 20

Category: Matrices and Determinants

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

10 / 20

Category: Matrices and Determinants

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

11 / 20

Category: Matrices and Determinants

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

12 / 20

Category: Matrices and Determinants

A _______ is a rectangular array of elements.

13 / 20

Category: Matrices and Determinants

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

14 / 20

Category: Matrices and Determinants

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

15 / 20

Category: Matrices and Determinants

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

16 / 20

Category: Matrices and Determinants

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

17 / 20

Category: Matrices and Determinants

A singular matrix is also called __________ matrix.

18 / 20

Category: Matrices and Determinants

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

19 / 20

Category: Matrices and Determinants

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

20 / 20

Category: Matrices and Determinants

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

Your score is

The average score is 21%

0%

7

Mathematics II

THEORY OF QUADRATIC EQUATIONS

tail-spin Class 10th Math Quiz

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Category: Theory of Quadratic Equations

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

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

3 / 20

Category: Theory of Quadratic Equations

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

4 / 20

Category: Theory of Quadratic Equations

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

5 / 20

Category: Theory of Quadratic Equations

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

6 / 20

Category: Theory of Quadratic Equations

The cube roots of unity are _____________.

7 / 20

Category: Theory of Quadratic Equations

The cube root of -27 are __________.

8 / 20

Category: Theory of Quadratic Equations

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 _______.

9 / 20

Category: Theory of Quadratic Equations

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

10 / 20

Category: Theory of Quadratic Equations

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

11 / 20

Category: Theory of Quadratic Equations

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

12 / 20

Category: Theory of Quadratic Equations

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

13 / 20

Category: Theory of Quadratic Equations

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

14 / 20

Category: Theory of Quadratic Equations

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

15 / 20

Category: Theory of Quadratic Equations

A polynomial of second degree is called __________ equation.

16 / 20

Category: Theory of Quadratic Equations

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

17 / 20

Category: Theory of Quadratic Equations

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

18 / 20

Category: Theory of Quadratic Equations

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

19 / 20

Category: Theory of Quadratic Equations

The quadratic equation equation whose roots are complex cube roots.

20 / 20

Category: Theory of Quadratic Equations

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

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

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Category: Partial Fractions

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

3 / 5

Category: Partial Fractions

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

4 / 5

Category: Partial Fractions

An improper fraction can be reduced into proper fractions by_____.

5 / 5

Category: Partial Fractions

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

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

The very basic form of data is know as _____.

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Category: Basic Statistics

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

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Category: Basic Statistics

_____ 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

Data is divided into _____types.

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Category: Basic Statistics

The number of classes is denoted by ____.

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Category: Basic Statistics

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

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Category: Basic Statistics

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

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Category: Basic Statistics

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

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Category: Basic Statistics

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

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Category: Basic Statistics

______ 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

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

12 / 20

Category: Basic Statistics

Class marks or mid points are denoted by ____.

13 / 20

Category: Basic Statistics

The word ____ means something increasing by successive additions.

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Category: Basic Statistics

_____ 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

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

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Category: Basic Statistics

If all numbers in data are equal, then ____.

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Category: Basic Statistics

______ are the numbers used to identify  a class.

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Category: Basic Statistics

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

19 / 20

Category: Basic Statistics

The spacing between the classes is denoted by ___.

20 / 20

Category: Basic Statistics

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

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

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

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

3 / 7

Category: Pythagoras Theorem

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

4 / 7

Category: Pythagoras Theorem

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

5 / 7

Category: Pythagoras Theorem

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

6 / 7

Category: Pythagoras Theorem

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

7 / 7

Category: Pythagoras Theorem

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

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

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

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Category: Ratio and Proportion

Equality of same ratios is called _______.

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Category: Ratio and Proportion

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

The symbols of similarity  of triangles is _____.

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Category: Ratio and Proportion

In ratio 25:18, 25 is called ______.

6 / 16

Category: Ratio and Proportion

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

7 / 16

Category: Ratio and Proportion

In ratio 1:2, 2 is  called ______.

8 / 16

Category: Ratio and Proportion

The corresponding sides of two similar triangles are ______.

9 / 16

Category: Ratio and Proportion

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

10 / 16

Category: Ratio and Proportion

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

11 / 16

Category: Ratio and Proportion

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

12 / 16

Category: Ratio and Proportion

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

13 / 16

Category: Ratio and Proportion

Two equilateral triangles  are also ____.

14 / 16

Category: Ratio and Proportion

The ratio of a and b is written as _____.

15 / 16

Category: Ratio and Proportion

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

16 / 16

Category: Ratio and Proportion

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

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

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

2 / 6

Category: Chords of a Circle

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

3 / 6

Category: Chords of a Circle

All circles are always _____.

4 / 6

Category: Chords of a Circle

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

5 / 6

Category: Chords of a Circle

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

6 / 6

Category: Chords of a Circle

One and only one circle passes through  three ______points.

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

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

2 / 11

Category: Tangents of a Circle

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

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

3 / 11

Category: Tangents of a Circle

In the adjacent figure, CDE is _____.

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

4 / 11

Category: Tangents of a Circle

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

5 / 11

Category: Tangents of a Circle

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

6 / 11

Category: Tangents of a Circle

In the adjacent  figure , AB is __________.

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

7 / 11

Category: Tangents of a Circle

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

8 / 11

Category: Tangents of a Circle

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

9 / 11

Category: Tangents of a Circle

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

10 / 11

Category: Tangents of a Circle

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

11 / 11

Category: Tangents of a Circle

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

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

One and only one circle passes through  three ______points.

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Category: Chords and Arcs

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

3 / 16

Category: Chords of a Circle

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

4 / 16

Category: Chords of a Circle

All circles are always _____.

5 / 16

Category: Chords and Arcs

Diameter divides the circle in to ____ parts.

6 / 16

Category: Chords and Arcs

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

7 / 16

Category: Chords of a Circle

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

8 / 16

Category: Chords of a Circle

A circle is an example of a _____ curve.

9 / 16

Category: Chords of a Circle

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

10 / 16

Category: Chords and Arcs

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

11 / 16

Category: Chords and Arcs

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 :

12 / 16

Category: Chords of a Circle

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

13 / 16

Category: Chords and Arcs

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

14 / 16

Category: Chords and Arcs

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

15 / 16

Category: Chords and Arcs

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

16 / 16

Category: Chords and Arcs

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

Your score is

The average score is 0%

0%

2

Mathematics II

ANGLES IN A SEGMENT OF A CIRCLE

tail-spin Class 10th Math Quiz

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Category: Angle in a Segment of a Circle

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

2 / 10

Category: Angle in a Segment of a Circle

Sum of opposite angles of cyclic quadrilateral is _______.

3 / 10

Category: Angle in a Segment of a Circle

Inscribed  angle of ______ is obtuse.

4 / 10

Category: Angle in a Segment of a Circle

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

5 / 10

Category: Angle in a Segment of a Circle

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

6 / 10

Category: Angle in a Segment of a Circle

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

7 / 10

Category: Angle in a Segment of a Circle

A parallelogram inscribed in a circle is _______.

8 / 10

Category: Angle in a Segment of a Circle

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

9 / 10

Category: Angle in a Segment of a Circle

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

10 / 10

Category: Angle in a Segment of a Circle

_______is the circular region bounded by arc and its chords.

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

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

2 / 19

Category: Practical Geometry - Circles

Each interior angle of regular hexagon is equal to ______.

3 / 19

Category: Practical Geometry - Circles

Direct common tangents of two  equal circle are ____.

4 / 19

Category: Practical Geometry - Circles

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

5 / 19

Category: Practical Geometry - Circles

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

6 / 19

Category: Practical Geometry - Circles

________ circles can pass through  three non - collinear points.

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Category: Practical Geometry - Circles

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

8 / 19

Category: Practical Geometry - Circles

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

9 / 19

Category: Practical Geometry - Circles

______ circles can pass through a single point.

10 / 19

Category: Practical Geometry - Circles

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

11 / 19

Category: Practical Geometry - Circles

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

12 / 19

Category: Practical Geometry - Circles

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

13 / 19

Category: Practical Geometry - Circles

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

14 / 19

Category: Practical Geometry - Circles

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

15 / 19

Category: Practical Geometry - Circles

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

The centre  of inscribed circle  is called _____.

17 / 19

Category: Practical Geometry - Circles

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

18 / 19

Category: Practical Geometry - Circles

Three or more sided closed figure is called _______.

19 / 19

Category: Practical Geometry - Circles

______ angles of regular polygon are equal in measures.

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

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

2 / 10

Category: Introduction to Trigonometry

1/2  sec 45 ° = ______.

3 / 10

Category: Introduction to Trigonometry

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

4 / 10

Category: Introduction to Trigonometry

Sec  ^2 θ- tan ^2 θ = _______.

5 / 10

Category: Introduction to Trigonometry

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

6 / 10

Category: Introduction to Trigonometry

Cosec θ .sin θ = _____.

7 / 10

Category: Introduction to Trigonometry

10° = _____.

8 / 10

Category: Introduction to Trigonometry

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

9 / 10

Category: Introduction to Trigonometry

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 __________.

10 / 10

Category: Introduction to Trigonometry

5  π /4 radians = ____.

Your score is

0%

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