CBSE Class 12th Maths Answer Key 2025: The CBSE Class 12 Maths Exam 2025 was held on March 8, 2025. As per the initial student reactions, the paper was moderately difficult. To help the students assess their performance, we provided the CBSE Class 12 Maths Answer Key 2025 in this article. The answer key has been prepared by subject experts and serves as an important resource for students to cross-check their answers and estimate their scores. Using the answer key allows students to learn from their mistakes and improve their preparation for future exams.
Check| CBSE Class 12 Maths Paper Analysis 2025
Check| CBSE Class 12 Maths Question Paper 2025 PDF (All Sets)
CBSE Class 12 Maths Exam Answer Key- Highlights
The CBSE Class 12 Maths question paper had 38 questions for 80 marks. The time allowed to write the paper was 3 hours. All questions were compulsory with some questions having internal choices.
| Feature | Highlights |
| Board Name | Central Board Of Secondary Education (CBSE) |
| Exam Name | CBSE Class 12th Maths Exam |
| Exam Date | March 8, 2025 |
| Duration | 12:30 AM to 1:30 PM (3 hours) |
| Total Marks | 80 |
| Mode | Offline (Pen and Paper) |
| Time Duration | 3 Hours |
| Question Paper Sets: | Multiple Sets |
Features Of CBSE Class 12th Maths Answer Key?
1. Self-Evaluation:
Students can compare their answers with the official solutions to understand their performance.
2. Score Estimation:
By checking the answer key, students can predict their approximate marks before the official results are announced.
3. Identify Mistakes:
Analysing incorrect answers helps students understand their weak areas for improvement in future exams.
Check:
- CBSE Class 12 Maths Paper Analysis - Exam Review & Difficulty Level
- CBSE Class 12 Maths Question Paper 2025 FREE (PDF)
Class 12 Mathematics Marking Scheme 2024-2025
Check the CBSE 12th Maths Marking Scheme 2025 in the table below.
| Assessment Type | Marks |
| Theory Exam | 80 |
| Internal Assessment
| (10+10=20) 10 10 |
|
| 100 |
CBSE Class 12 Maths Answer Key 2025
Get here the complete answer key for CBSE Class 12th Maths Exam 2025 for 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 2x2.
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.
CBSE Class 12th Maths Answer Key (SET-3)
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) represented by the curves y=x2, 0≤x≤2 and the y-axis is given by:
Answer: Option (a)
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