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## MCQ Questions for Class 10 Mathematics with Answers

## Q1. If x and y are complementary angles, then

(i) sin x = sin y

(ii) tan x = tan y

(iii) cos x = cos y

(iv) sec x = cosec y

(iv) sec x = cosec y

## Q2. (Sin 30°+cos 60°)-(sin 60° + cos 30°) is equal to:

(i) 0

(ii) 1+2√3

(iii) 1-√3

(iv) 1+√3

(iii) 1-√3

## Q3. sin 2B = 2 sin B is true when B is equal to

(i) 90°

(ii) 60°

(iii) 30°

(iv) 0°

(iv) 0°

## Q4. If tan 26° tan19°/ x(1 tan 26° tan19° ) = cos60°, what is the value of x ?

(i) 1

(ii) -2

(iii) 2

(iv) 3

(iii) 2

## Q5. If x = a sin θ and y = a cos θ then the value of x² + y² is

(i) a

(ii) a ²

(iii) 1

(iv) 1/a

(ii) a ²

## Q6. If sin θ + sin² θ = 1, then cos² θ + cos^{4} θ =

(i) -1

(ii) 0

(iii) 1

(iv) 2

(iii) 1

## Q7. The value of tan 60°/cot 30° is equal to:

(i) 0

(ii) 1

(iii) 2

(iv) 3

(ii) 1

## Q8. If sin θ + sin² θ = 1, then cos² θ + cos4 θ =

(i) -1

(ii) 0

(iii) 1

(iv) 2

(iii) 1

## Q9. If 4tanΘ = 1, find the value of 4sinΘ – 2cosΘ / 4sinΘ + 3cosΘ

(i) 1/2

(ii) 1/6

(iii) 2/3

(iv) 1/3

(ii) 1/6

## Q10. If 3 sec θ – 5 = 0 then cot θ =

(i) 5/3

(ii) 4/5

(iii) 3/4

(iv) 3/5

(iii) 3/4

## Q11. What is the minimum value of sin A, 0 ≤ A ≤ 90°

(i) -1

(ii) 0

(iii) 1

(iv) 1/2

(ii) 0

## Q12. 1-cos²A is equal to:

(i) sin²A

(ii) tan²A

(iii) 1-sin²A

(d )sec²A

(i)sin²A

## Q13. If cos A + cos² A = 1, then sin² A + sin^{4} A is

(i) -1

(ii) 0

(iii) 1

(iv) 2

(iii) 1

## Q14. Find the value of sin 15° .

(i) √3+1/√2

(ii) √3 -1/√2

(iii) √3+1/2√2

(iv) √3 -1/2√2

(iv) √3 -1/2√2

## Q15. If sin (90 – θ) cos θ = 1 and θ is an acute angle then θ =

(i) 90°

(ii) 60°

(iii) 30°

(iv) 0°

(iv) 0°

## Q16. Ratios of sides of a right triangle with respect to its acute angles are known as

(i) trigonometric identities

(ii) trigonometry

(iii) trigonometric ratios of the angles

(iv) none of these

(iii) trigonometric ratios of the angles

## Q17. If cos X = ⅔ then tan X is equal to:

(i)5/2

(ii)√(5/2)

(iii)√5/2

(iv)2/√5

(iii)√5/2

## Q18. If tan 2A = cot (A – 18°), then the value of A is

(i) 24°

(ii) 18°

(iii) 27°

(iv) 36°

(iv) 36°

## Q19. Find the value of cos1^{o} cos2^{o} cos3^{o} …..cos89^{o} cos90^{o}

(i) 1

(ii) 1/2

(iii) 1/√2

(iv) 0

(iv) 0

## Q20. If sec θ+ tan θ = x, then sec θ =

(i) x²+1/x

(ii) x²+1/2x

(iii) x²-1/2x

(iv) x²-1/x

(ii) x²+1/2x

## Q21. If 0° < θ < 90°, then sec 0 is

(i) >1

(ii) < 1

(iii) =1

(iv) 0

(i) >1

## Q22. If cos X=a/b, then sin X is equal to:

(i)b²-a²/b

(ii)b-a/b

(iii)√(b²-a²)/b

(iv)√(b-a)/b

(iii)√(b²-a²)/b

## Q23. (1 + tanθ + secθ) (1 + cotθ – cosecθ) is equal to

(i) 0

(ii) 1

(iii) 2

(iv) -1

(iii) 2

## Q24. If 8 tan A =15, find the value of sinA – cosA / sinA + cosA

(i) 7/23

(ii) 11/23

(iii) 13/23

(iv) 17/23

(i) 7/23

## Q25. sin θ/√1-sin² θ

(i) cot θ

(ii) √sin θ

(iii) sin θ/√cos θ

(iv) tan θ

(iv) tan θ

## Q26. If cos (α + β) = 0, then sin (α – β) can be reduced to

(i) cos β

(ii) cos 2β

(iii) sin α

(iv) sin 2α

(ii) cos 2β

## Q27. The value of sin 60° cos 30° + sin 30° cos 60° is:

(i) 0

(ii) 1

(iii) 2

(iv) 4

(ii) 1

## Q28. If sin A = 1/2, then the value of cot A is

(i) √3

(ii) 1/√3

(iii) √3/2

(iv) 1

(i) √3

## Q29. What is the angle between the hour and minute hands of a clock at 02 :15 hours?

(i) 15°

(ii) 7 (1°/2)

(iii) 22(1°/2)

(iv) 30°

(iii) 22(1°/2)

## Q30. The value of the expression [cosec (75° + θ) – sec (15° – θ) – tan (55° + θ) + cot (35° – θ)] is

(i) -1

(ii) 0

(iii) 1

(iv) 32

(ii) 0

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## MCQ Questions for Class 10 Mathematicss with Answers

**Lesson 1. Real Numbers Class 10 MCQs****Lesson 2. Polynomials Class 10 MCQs****Lesson 3. Pair Of Linear Equations In Two Variables Class 10 MCQs****Lesson 4. Quadratic Equations Class 10 MCQs****Lesson 5. Arithmetic Progression Class 10 MCQs****Lesson 6. Triangles Class 10 MCQs****Lesson 7. Coordinate Geometry Class 10 MCQs****Lesson 8. Introduction To Trigonometry Class 10 MCQs****Lesson 9. Some Applications Of Trigonometry Class 10 MCQs****Lesson 10. Circles Class 10 MCQs****Lesson 11. Constructions Class 10 MCQs****Lesson 12. Areas Related To Circles Class 10 MCQs****Lesson 13. Surface Areas And Volumes Class 10 MCQs****Lesson 14. Statistics Class 10 MCQs****Lesson 15. Probability Class 10 MCQs**