CBSE 12th Half-Yearly Exam 2025-26: Maths Top 50 MCQs with Answers

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We have provided important Top 50 MCQs questions and answers for CBSE Class 12 Maths half yearly exam in this post.

Maths Top 50 MCQs (Multiple Choice Questions) is an important study material for students preparing for Half Yearly Exam 2025-26.

These questions are prepared from the main chapters of NCERT syllabus, so that students can understand difficult topics easily. Regular practice not only makes the concepts clear but also improves time management and answering ability.

This resource will help students gain confidence and score high marks.

Top 50 Maths MCQs for Class 12 Half Yearly Exam 2025-26

1. If f(x) = |x|, for x < 0, f(x) is equal to:

(A) x

(B) -x

(C) 0

(D) 1

Ans. (B) -x

2. The principal value of inverse sine of (-1/2) is:

(A) pi/6

(B) -pi/6

(C) pi/3

(D) -pi/3

Ans. (B) -pi/6

3. A matrix having 6 elements can have how many possible orders?

(A) 2

(B) 3

(C) 4

(D) 6

Ans. (C) 4

4. If matrix A = [2 1; 3 4] and matrix B = [1 0; 2 1], then A + B is:

(A) [3 1; 5 5]

(B) [3 1; 1 3]

(C) [3 0; 6 4]

(D) [1 1; 1 3]

Ans. (A) [3 1; 5 5]

5. The value of the determinant of an upper triangular matrix with diagonal elements 1, 2, 3 is:

(A) 1

(B) 2

(C) 3

(D) 6

Ans. (D) 6

6. If y = sin(x squared), then dy/dx is:

(A) cos(x squared)

(B) -cos(x squared)

(C) 2x cos(x squared)

(D) -2x cos(x squared)

Ans. (C) 2x cos(x squared)

7. For a function to be continuous at a point 'a', the limit of f(x) as x approaches 'a' must be equal to:

(A) f(a)

(B) 0

(C) infinity

(D) Not defined

Correct Answer: (A) f(a)

8. The rate of change of the circumference of a circle with respect to its radius r is:

(A) pi

(B) 2pi

(C) 2r

(D) pi*r squared

Ans. (B) 2pi

9. The derivative of inverse tan(x) is:

(A) 1 / (1 - x squared)

(B) 1 / (1 + x squared)

(C) tan x

(D) cot x

Ans. (B) 1 / (1 + x squared)

10. Integral of sec squared(x) dx is:

(A) tan x + C

(B) cot x + C

(C) sec x + C

(D) sin x + C

Ans. (A) tan x + C

11. The order of the differential equation (dy/dx) + y = sin x is:

(A) 0

(B) 1

(C) 2

(D) Not defined

Ans. (B) 1

12. If y = e to the power x, then dy/dx is:

(A) x * e to the power x-1

(B) e to the power x

(C) log x

(D) 1 / x

Ans. (B) e to the power x

13. The function f(x) = x squared has a local minimum at x =:

(A) 1

(B) -1

(C) 0

(D) 2

Ans. (C) 0

14. Definite integral of 1 / (1 + x squared) from 0 to 1 is:

(A) pi/2

(B) pi/4

(C) 0

(D) 1

Ans. (B) pi/4

15. The area under the curve y = x from x = 0 to x = 1 is:

(A) 1 unit squared

(B) 0.5 unit squared

(C) 2 unit squared

(D) 0 unit squared

Ans. (B) 0.5 unit squared

16. If matrix A = [1 0; 0 1], then A inverse is:

(A) [1 0; 0 1]

(B) [0 1; 1 0]

(C) [-1 0; 0 -1]

(D) [0 0; 0 0]

Ans. (A) [1 0; 0 1]

17. A relation R on set A is called reflexive if:

(A) (a, a) is in R for all a in A

(B) (a, b) is in R implies (b, a) is in R

(C) (a, b) and (b, c) are in R implies (a, c) is in R

(D) R is empty

Ans. (A) (a, a) is in R for all a in A

18. If y = log(x), then dy/dx is:

(A) x

(B) 1/x

(C) e to the power x

(D) log x

Ans. (B) 1/x

19. Integral of 1 dx is:

(A) 0

(B) x + C

(C) 1

(D) x squared / 2 + C

Ans. (B) x + C

20. The general solution of dy/dx = 1 is:

(A) y = x

(B) y = x + C

(C) y = 1

(D) y = 0

Ans. (B) y = x + C

21. The derivative of sin inverse(x) is:

(A) 1 / (sqrt(1 - x squared))

(B) -1 / (sqrt(1 - x squared))

(C) cos inverse(x)

(D) tan inverse(x)

Ans. (A) 1 / (sqrt(1 - x squared))

22. The slope of the tangent to the curve y = x squared at x = 2 is:

(A) 2

(B) 4

(C) 0

(D) -2

Ans. (B) 4

23. If the rows of a determinant are identical, its value is:

(A) 1

(B) -1

(C) 0

(D) Undefined

Ans. (C) 0

24. A matrix is called a symmetric matrix if:

(A) A = Transpose of A

(B) A = - Transpose of A

(C) All elements are zero

(D) It is a square matrix

Ans. (A) A = Transpose of A

25. Integral of e to the power x dx is:

(A) e to the power x

(B) e to the power x + C

(C) x * e to the power x-1

(D) log x + C

Ans. (B) e to the power x + C

26. The area under the curve y = cos x from x = 0 to x = pi/2 is:

(A) 0

(B) 1

(C) -1

(D) pi/2

Ans. (B) 1

27. The general solution of dy/dx = sin x is:

(A) y = cos x + C

(B) y = -cos x + C

(C) y = sin x + C

(D) y = -sin x + C

Ans. (B) y = -cos x + C

28. The domain of sin inverse(x) is:

(A) (-1, 1)

(B) [-1, 1]

(C) [0, 1]

(D) (-infinity, infinity)

Ans. (B) [-1, 1]

29. If y = log(sin x), then dy/dx is:

(A) cos x

(B) -cos x

(C) cot x

(D) -cot x

Ans. (C) cot x

30. The slope of the normal to the curve y = x squared at x = 1 is:

(A) 2

(B) -1/2

(C) 1/2

(D) -2

Ans. (B) -1/2

31. If a relation R is reflexive and symmetric, it is always:

(A) Transitive

(B) An equivalence relation

(C) Neither transitive nor equivalence

(D) Identity relation

Ans. (C) Neither transitive nor equivalence

32. If A is an invertible matrix of order 2, then det(A inverse) is:

(A) det(A)

(B) 1 / det(A)

(C) 0

(D) 1

Ans. (B) 1 / det(A)

33. Integral of 1/x dx is:

(A) log |x| + C

(B) 1 + C

(C) x squared / 2 + C

(D) -1/x squared + C

Ans. (A) log |x| + C

34. The area of a circle with radius 'r' is:

(A) pi * r

(B) 2 * pi * r

(C) pi * r squared

(D) 4 * pi * r squared

Ans. (C) pi * r squared

35. A differential equation of the form dy/dx + P(x)y = Q(x) is called a:

(A) Variable separable form

(B) Homogeneous differential equation

(C) Linear differential equation

(D) Exact differential equation

Ans. (C) Linear differential equation

36. The value of tan inverse(1) is:

(A) 0

(B) pi/4

(C) pi/2

(D) pi

Ans. (B) pi/4

37. If y = e to the power (2x), then dy/dx is:

(A) e to the power (2x)

(B) 2 * e to the power (2x)

(C) 2x * e to the power (2x-1)

(D) e to the power x

Ans. (B) 2 * e to the power (2x)

38. A function f(x) is strictly increasing if f'(x) is:

(A) Less than 0

(B) Greater than 0

(C) Equal to 0

(D) Not defined

Ans. (B) Greater than 0

39. If x = t squared and y = t cubed, then dy/dx is:

(A) 3t/2

(B) 2t/3

(C) 3/2

(D) t

Ans. (A) 3t/2

40. Definite integral of x dx from -1 to 1 is:

(A) 0

(B) 1

(C) 2

(D) -1

Ans. (A) 0

41. The area bounded by the line y = x and the x-axis from x = 0 to x = 2 is:

(A) 1 unit squared

(B) 2 unit squared

(C) 4 unit squared

(D) 0 unit squared

Ans. (B) 2 unit squared

42. The general solution of dy/dx = y is:

(A) y = Ce to the power x

(B) y = x + C

(C) y = log x + C

(D) y = e to the power x + C

Ans. (A) y = Ce to the power x**

43. If A is a square matrix, then (A - Transpose of A) is a:

(A) Symmetric matrix

(B) Skew-symmetric matrix

(C) Diagonal matrix

(D) Identity matrix

Ans. (B) Skew-symmetric matrix

44. For continuity at a point, Left Hand Limit = Right Hand Limit = :

(A) 0

(B) f(a)

(C) 1

(D) Infinity

Ans. (B) f(a)

45. The minimum value of f(x) = x squared is:

(A) 1

(B) 0

(C) -1

(D) 2

Ans. (B) 0

46. Integral of 1 / sqrt(1 - x squared) dx is:

(A) sin inverse(x) + C

(B) cos inverse(x) + C

(C) tan inverse(x) + C

(D) log x + C

Ans. (A) sin inverse(x) + C

47. The degree of the differential equation (dy/dx) squared + y = 0 is:

(A) 0

(B) 1

(C) 2

(D) Not defined

Ans. (C) 2

48. If matrix A = [1 2; 3 4], then 2A is:

(A) [2 4; 6 8]

(B) [1 4; 9 16]

(C) [2 2; 3 4]

(D) [1 2; 6 8]

Ans. (A) [2 4; 6 8]

49. If y = x cubed, then the second derivative (d squared y / dx squared) is:

(A) 3x squared

(B) 6x

(C) 6

(D) x cubed

Ans. (B) 6x

50. If a matrix A has order 3x2 and matrix B has order 2x4, the order of AB is:

(A) 3x4

(B) 2x2

(C) 3x2

(D) Not possible

Ans. (A) 3x4

👉 CBSE Class 12 Study Materials

CBSE Class 12 Syllabus 2025-26	CBSE Class 12 Previous Year Papers
NCERT Books For Class 12 Books	NCERT Class 12 Solutions
CBSE Class 12 Full Study Material	CBSE Class 12 Sample Paper 2025-26