CBSE Class 12 Maths Answer Key 2025 Out for All Sets

CBSE Class 12 Maths Answer Key 2025 OUT: The Central Board of Secondary Education has successfully conducted the most anticipated Class 12th Mathematics examination on March 08, 2025. In Class 12 Maths is the most important scoring subject, doing well in the exam not only boosts your overall exam score but also helps to boost your confidence in upcoming various entrance exams. After the exam is concluded at 01:30 P.M., one question circulating in the student’s Mind is “How did I perform in the exam?” To help the students find the answer, we shares the most accurate and error-free CBSE Class 12 Maths Answer Key 2025 for All Sets on this page. Using the Answer Key Maths Class 12 2025, Students can analyze their exam performance and estimate their potential scores.

CBSE Class 12 Maths Answer Key 2025

The CBSE Class 12th Mathematics Exam is held for three hours, starting from 10:30 A.M to 01: 30 P.M. The Class 12th mathematics Exam carries a total of 80 marks which is divided into different sections catering to different question types, As per the exam pattern,  the CBSE Class 12 Mathematics exam 2025 Question Paper will feature MCQs (20%), Short Answer (30%), and Long Answer (50%) questions to assess candidates’ problem-solving skills, logical reasoning, and conceptual clarity. After the exam, our subject specialists will begin analyzing and releasing the 12th maths solution keys for Section A (MCQs) initially, followed by the other SAQs and LAQs subsequently. Stay tuned with us to acquire the unofficial CBSE Class 12th maths solution key for your respective sets as soon as possible.

CBSE Class 12th Maths Answer Key 2025 for All Sets

To maintain the fairness and sanctity of the exam, the board conducts the mathematics exam over four different sets of paper. despite the different sets, the difficulty level and types of questions of each paper are nearly similar. For the convenience of the students, we will share the CBSE Class 12th Maths Answer key 2025 for all four sets separately with actual marking here soon.

CBSE Class 12 Maths Set 1 Answer Key 2025

In the question paper, Section A consists of the 18 MCQ types of queries that have four options each. We share all 18 Multiple choice Questions with their correct answers in the table below.

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.

Class 12 Maths Answer key for SET-1 Q.P. Code 65/1/1

1

Answer: Option D

2.

Answer: Option B

3.

Answer:  option D

3. Which of the following is not a homogeneous function of x and y ?
(А) у²-ду
(B) x-3y
(C) sin^2 (y/x) + y/x
(D) tanx- secy

Answer: (D) tanx- secy

4. The corner points of the feasible region in graphical representation of a L.P.P. are (2, 72), (15, 20) and (40, 15). If 2 = 18x + 9y be the objective function then
(A) Z is maximum at (2, 72), minimum at (15, 20)
(B) Z is maximum at (15.20) minimum at (40, 15)
(C) Z is maximum at (40, 15), minimum at (15, 20)
(D) Z is maximum at (40, 15), minimum at (2, 72)

Answer:

5. If A and B are invertible matrices, then which of the following is not correct?
(A) (lambda + B) ^ – 1 = B ^ – 1 + A ^ – 1
(B) overline (AB) ^ – 1 = B ^ – 1 * A ^ – 1
(C) adj (A) = |A| * A ^ – 1
(D) |A| ^ – 1 = |A ^ – 1|

Answer:

6. If the feasible region of a linear programming problem with objective function Z = ax + by, is bounded, then which of the following is correct?
(A) It will only have a maximum value.
(B) It will only have a minimum value.
(C) It will have both maximum and minimum values.
(D) It will have neither maximum nor minimum value.

Answer:

7. The area of the shaded region bounded by the curves y ^ 2 = x x = 4 and the x-axis is given by

Answer:

Class 12 Maths Set 2 Answer Key 2025

Question 1. Sum of two skew-symmetric matrices of same order is always a/an:

Answer – skew-symmetric matrix

Question 3.

Answer – (D) y = tan⁻¹ x

CBSE Class 12 Maths Set 3 Answer Key 2025

5.The value of cos(π/6+cot−1(−√3)) is:
(A) -1
(B) −√3/2
(C) 0
(D) 1
Answer: (A) -1

6. If p and q are respectively the order and degree of the differential equation then (p−q) is:

(A) 0
(B) 1
(C) 2
(D) 3
Answer: (A) 0

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

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

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

Answer: Option (a)

CBSE Class 12 Maths Answer Key 2025 pdf download

We provide the CBSE 12th Maths Answer keys for all four sets in PDF format, Students can download it and save it to the device for future use.

Answer Key Maths Class 12 2025 & Marking Scheme

While calculating your expected scores using the Maths Answer Key, you must be aware of the section-wise marking scheme. As per the paper pattern, the Question paper contains five sections A, B, C, D and E. Section A consists of eighteen questions multiple-choice questions, and two assertion reasoning questions, each worth one mark. Section B consists of five two-mark questions, whereas Section C features seven three-mark questions. Section D consists of 4 Long-Answer type questions of five marks each, while Section E has 3 source-based/case-based/passage-based questions for four marks each.

CBSE Class 12 Maths paper analysis 2025

After the exam is concluded we have shared the detailed analysis of each section in terms of difficulty level, types of questions, any out of syllabus questions, and many more crucial insights. Stay tuned for the most authentic CBSE Class 12 Maths Question Paper 2025 analysis.

Student’s review on CBSE Class 12 Maths Paper 2025

According to the Students’ initial evaluation,  the Maths paper was moderate in terms of difficulty level. In the whole question Paper, the numerical required more effort and time, therefore students who studied well found it simple to answer. On the other hand, few students rate the exam of easy nature. The feedback varies from student to student, depending on how well they studied for the examination.

CBSE Class 12th Maths Answer Key with Detailed Analysis

Watch the video to get detailed solutions for each set of the CBSE Class 12th Maths board paper 2025

Class 12 Maths Exam 2025 Answer Key Updates

Catch all the latest updates of the CBSE Class 12th maths Examinations in the below section

Sharing is caring!