CBSE Class 12 Maths Answer Key 2025 and Question Papers, Download PDF All SETs (2025)

TheCBSEClass 12Maths Paper 2025exam was conducted today, March 08, 2025. The exam lasted for 3 hours, conducted from 10:30 am to 1:30 pm, with an additional 15 minutes given for reading the question paper.

Here we are providing adetailed analysis of student responses, expert opinions and the difficulty level of the paper including expected good scores, time-consuming section and longest question.

We have shared theCBSE Class 12Maths Question Paper 2025 PDF and answer keyto help students check their answers and evaluate their performance. Direct link todownload CBSE 12th Maths Question Paper 2025to be available on this page.

👉CBSE Class 12 Maths Question Paper 2025with Answer Key (Set - 1)

👉CBSE Class 12 Maths Question Paper 2025with Answer Key (Set - 2)

👉CBSE Class 12 Maths Question Paper 2025with Answer Key (Set - 3)

CBSE 12th Maths Student Reviews 2025

Here is the updated details of student reviews of CBSE Class 12 Maths paper:

CBSE 12th Maths Student Reviews 2025

Here is the updated details of student reviews of CBSE Class 12 Maths paper:

• Many students felt that the paper was "Moderate" Level, but the linear Equations and calculus chapter questions were lengthy, and they took more time to complete.
• One student shared that she received Set 2, which had no direct questions. The entire question paper was based on Functions and Probability, with all the 5-mark questions being reduced to 2-3 marks, and some even to 1 mark.
• Another student thought, there were no questions from previous years' question papers or the CBSE sample papers. Despite integration being a high-priority topic, it only appeared in one question in Set 2.
• Students observed that, who received the Set 3 paper,it was very tough no direct differentiation nor direct integration and increasing decreasing was also very hard.

CBSE 12th Mathematics Exam Analysis 2025

CBSE 12th Mathematics Expert Review 2025

According to experts, the CBSE Class 12 Maths paper was of moderate level.

➤The MCQs were good and had a mix of challenging questions.

➤The case study section is quite easy as compared to previous years.

➤Experts said that the exam required strong conceptual knowledge and mental application.

➤The exam paper was as per the NCERT syllabus, except for a few exceptions that required advanced applications.

CBSE Class 12 Maths Answer Key 2025

Maths Set 1

CBSE Class 12 Maths Answer Key 2025

Maths Set 1

1. The formula for the projection of vector a on vector b is:

Answer: (A)

2. The function given f(x)=x2−4x+6 is increasing in the interval:
(A) (0, 2)
(B) (-∞, 2]
(C) [1, 2]
(D) [2, ∞)
Answer: (D) (2,∞)

3. Given

Answer: (D)

4. If A:

Answer: (D) 8

5. The given function is: y=sin⁡−1(−x), −1 ≤ x ≤ 0, then the range of y is
(A) (-π/2, 0)
(B) [-π/2, 0]
(C) [-π/2, 0)
(D) (-π/2, 0]

Answer: (B) [−π/2,0]

6. If a line makes angles of 3π/4, π/3 and θ with the positive directions of x, y and z axis respectively, then θ is
(A) −π/3 only
(B) π/3 only
(C) π/6
(D) ±π/3

Answer: (B) π/3 only

7. If

Answer: (D)

8. Which of the following can be both a symmetric and skew-symmetric matrix?
(A) Unit Matrix
(B) Diagonal Matrix
(C) Null Matrix
(D) Row Matrix
Answer: (C) Null Matrix

9. The

(A) x= 4t + 3, y = −3t + 1, z = 7t +2
(B) x= 3t + 4, y = t + 3, z = 2t +7
(C) x= 3t + 4, y = t-3, z = 2t +7
(D) x= 3t + 4, y = -t + 3, z =2t+7
Answer: (C) x= 3t + 4, y = t-3, z = 2t +7

10. Four friends Abhay, Bina, Chhaya and Devesh were asked to simplify 4 AB + 3(AB + BA) – 4 BA, where A and B are both matrices of order 2×2.
It is known that A≠B≠I and A-1 ≠ B
Their answers are given as :
Abhay: 6 AB
Bina: 7 AB-BА
Chhaya: 8 AB
Devesh: 7 BA- AВ
Who answered it correctly?

(A) Abhay
(B) Bina
(C) Chhaya
(D) Devesh

Answer: (B) Bina

11. A cylindrical tank of radius 10 cm is being filled with sugar at the rate of 100 π cm³/s. The rate at which the height of the sugar inside the tank is increasing, is: 12.
(A) 0.1 cm/s
(B) 0.5 cm/s
(C) 1 cm/s
(D) 1.1 cm/s

Answer: (C) 1 cm/s

12. Let

(A) π/4
(B) π/3
(C) π/2
(D) 2π/3
Answer: (D) 2π/3

13. The line x=1+5μ, y=−5+μ, z=−6−3μ passes through which of the following points?
(A) (4, -5, 6)
(B) (1, 5, 6)
(C) (1, -5, -6)
(D) (-1, -5, 6)

Answer: (C) (1, -5, -6)

14. If A denotes the set of continuous functions and B denotes the set of differentiable functions, then which of the following depicts the correct relation between set A and B?

Answer: (B)

15. The area of the shaded region (figure) represented by the curves y=x2, 0 ≤ x ≤ 2, and the y-axis is given by:

Answer: (B)

16. A factory produces two products X and Y. The profit earned by selling X and Y is represented by the objective function Z=5x+7y, where x and y are the number of units of X and Y respectively sold. Which of the following statements is correct?

(A) The objective function maximizes the difference of the profit earned from products X and Y.
(B) The objective function measures the total production of products X and Y.
(C) The objective function maximizes the combined profit earned from selling X and Y.
(D) The objective function ensures the company produces more of product X than product Y.

Answer: (C) The objective function maximizes the combined profit earned from selling X and Y.

17. If A and B are square matrices of order m such that A2−B2=(A−B)(A+B) then, which of the following is always correct?
(A) A=B
(B) AB=BA
(C) A=0 or B=0
(D) A=I or B= I

Answer: (B) AB=BA

18. If p and 13 q are respectively the order and degree of the differential equation d/dx (dy/dx)3 = 0 then (p-q) is
(A) 1
(B) 1
(C) 2
(D) 3

Answer: (B) 1

Direction: Questions number 19 and 20 are Assertion (A) and Reason (R) based questions. Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the options (A), (B), (C), and (D) as given below:

(A) Both Assertion (A) and Reason (R) are true and the Reason (R) is the correct explanation of the Assertion (A).
(B) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
(C) Assertion (A) is true but Reason (R) is false.
(D) Assertion (A) is false but Reason (R) is true.

19. Assertion (A): A = diag [3 5 2] is a scalar matrix of order 3 x 3.
Reason (R): If a diagonal matrix has all non-zero elements equal, it is known as a scalar matrix.
Answer: (D) Assertion (A) is false but Reason (R) is true.

20. Assertion (A): Every point of the feasible region of a Linear Programming Problem is an optimal solution.
Reason (R): The optimal solution for a Linear Programming Problem exists only at one or more corner point(s) of the feasible region.
Answer: (D) Assertion (A) is false but Reason (R) is true.