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CBSE Class 12 Mathematics Answer Key 2024 (Available): Detailed solutions PDF download

Students can access CBSE Class 12 Mathematics answer key 2024 here and evaluate their tentative marks in the March 9 exam. The answer key is provided for all question paper sets.

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CBSE Class 12 Mathematics Answer Key 2024: For CBSE Class 12 Mathematics (Subject Code - 041), the unofficial answer keys are currently being provided by our experts for all question paper codes one by one. The Mathematics exam was conducted on March 9, 2024, for 3 hours. The answer keys are available for Section A (Question 1 to Question 20) in multiple-choice questions format, of which Question 19 and Question 20 are based on Assertion-reason of 1 mark each. The other sections of the Mathematics examination will be calculative and evaluation of such questions will be done step-wise. Each question is compulsory to attempt. However, there are internal choices in some questions. 

CBSE 12th Maths Answer Key 2024 is currently available for QP Codes: 65/2/3 (Set 3),65/1/2 (Set 2), 65/2/1 (Set 1), 65/3/2 (Set 2), and 65/4/1 (Set 1).

Also Read | CBSE Class 12 Result Expected Release Date 2024

CBSE Class 12 Mathematics Answer Key 2024 for QP Code: 65/2/3 (Set 3)

The answers for Section A (Q1 to Q20) are provided in the table below for QP Code: 65/2/3 (Set 3)

Question NumberQP Code: 65/2/3 (Set 3)
1(D) -1/(e-2x - 1)1/2
2(D) 2, 2
3(B) j
4(D) 2, -1, 3
5(A) 0
6(D) 90°
7(C) 27
8(A) one-one
9(D) 4
10(B) 1
11(A) strictly decreasing on R
12(B) -cosx + sinx
13(B) y/x
14(C) a · b ≤ | a | | b |
15(C) (√5, 0, 0)
16(D) a feasible region
17(C) 1
18(D) a13 > a31
19(D) Assertion (A) is false, but Reason (R) is true. 
20(D) Assertion (A) is false, but Reason (R) is true. 

CBSE Class 12 Mathematics Answer Key 2024 for QP Code: 65/1/2 (Set 2)

The answers for Section A (Q1 to Q20) are provided in the table below for QP Code: 65/1/2 (Set 2)

Question NumberQP Code: 65/1/2 (Set 2)
1(C) ±4/5
2(C) x-1
3(D) ±1/3
4(B) linear function
5(A) P(A) = P(A')
6(C) 114
7(C) -2√π
8(D) 2, 1
9(A) i - j + 2k
10(C) (a2 + c2)1/2
11(D) 3
12(D) AB = BA
13(B) 2
14(D) 9
15(B) 2
16(B) f'(x) > 0, ∀ x ∈ (a, b)
17(D) 18
18(A) √3/2
19(D) Assertion (A) is false, but Reason (R) is true. 
20(A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

CBSE Class 12 Mathematics Answer Key 2024 for QP Code: 65/2/1 (Set 1)

The answers for Section A (Q1 to Q20) are provided in the table below for QP Code: 65/2/1 (Set 1)

Question NumberQP Code: 65/2/1 (Set 1)
1(C) 27
2(A) one-one
3(D) 4
4(B) 1
5(A) strictly decreasing on R
6(B) Zero (0)
7(A) cos x - sin (y/x)
8(C) a · b ≤ | a | | b |
9(C) (√5, 0, 0)
10(D) a feasible region
11(C) 1
12(D) a13 > a31
13(B) 2x / ( 1 + x4 )
14(D) not defined
15(B) j
16(D) 2, -1, 3
17(B) 2
18(A) 90°
19(D) Assertion (A) is false, but Reason (R) is true. 
20(C) Assertion (A) is true, but Reason (R) is false.

CBSE Class 12 Mathematics Answer Key 2024 for QP Code: 65/3/2 (Set 2)

The answers for Section A (Q1 to Q20) are provided in the table below for QP Code: 65/3/2 (Set 2):

Question NumberQP Code: 65/3/2 (Set 2)
1(C) ±2
2(C) (5/e)x log 5
3(D) [0, 6]
4(C) π/2
5(C) x + 2y ≥ 76, 2x + y ≤ 104, x,y ≥ 0
6(A) [  1/2     0     0   ]
      [   0      1/3   0   ]
      [   0        0   1/5 ]
7(C) a skew symmetric matrix
8(C) [1, ∞ )
9(A) 2a
10(D) continuous everywhere
11(C) f'(x) = 0 and f'(x) does not change its sign from left to right of that point.
12(A) 0
13(C) first order linear differential equation.
14(C) perpendicular vectors
15(D) cos α + cos β + cos γ = 1
16(B) constraints
17(D) 0
18(D) aij = { 0,   if i ≠ j
           = { 1,   if i = j
19(D) Assertion (A) is false, but Reason (R) is true. 
20(C) Assertion (A) is true, but Reason (R) is false.

CBSE Class 12 Mathematics Answer Key 2024 for QP Code: 65/4/1 (Set 1)

The answers for Section A (Q1 to Q20) are provided in the table below for QP Code: 65/4/1 (Set 1):

Question NumberQP Code: 65/4/1 (Set 1)
1(D) 25
2(A) 7 [ 2    -1 ]
         [ 3     2 ]
3(D) [ 1    0 ]
      [ 0    1 ]
4(D) 1000
5(A) -4
6(A) e2
7(B) 1/4
8(C) π/2
9(B) x + y = c
10(D) 1/y
11(D) 11π/6
12(D) a right-angled triangle
13(C) 3a2
14(D) r = λj
15(B) 1/2
16(C) 120
17(D) 1
18(A) k > 1
19(C) Assertion (A) is true, but Reason (R) is false.
20(B) Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).

CBSE Class 12 Mathematics  2024: Analysis and Question Paper

The analysis and question paper for CBSE Class 12 Mathematics  2024 held on March 9, 2024, can be checked at the following links:

Also Read | CBSE 10th Mathematics Answer Key 2024

CBSE Class 12 Answer Key 2024 Links |

The question papers for the respective day-wise exams are available at the links below:

CBSE Class 12 2024 Weightage Subject-Wise |

Access CBSE Class 12 weightage 2024 for the upcoming papers here in the given table:

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