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

Mahima Gupta

Updated On: April 02, 2024 01:04 pm IST

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.
CBSE Class 12 Mathematics Answer Key 2024 (Image Credit: Pexels)CBSE Class 12 Mathematics Answer Key 2024 (Image Credit: Pexels)

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.

Helpful links for next exam |
CBSE Class 12 Biology Weightage 2024
CBSE Class 12 Biology Blueprint 2024

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 Number QP 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) a 13 > a 31
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 Number QP 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) (a 2 + c 2 ) 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 Number QP 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) a 13 > a 31
13 (B) 2x / ( 1 + x 4 )
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 Number QP 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) a ij = { 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 Number QP 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) e 2
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) 3a 2
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:

CBSE 12th Mathematics Exam Analysis 2024

CBSE 12th Mathematics  Question Paper 2024

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:

Subject CBSE 12th Answer Key 2024 Link
Computer Science CBSE Class 12 Computer Science Answer Key 2024
Informatics Practices CBSE Class 12 Informatics Practices Answer Key 2024
Sociology CBSE Class 12 Sociology Answer Key 2024
History CBSE Class 12 History Answer Key 2024
Business Studies CBSE Class 12 Business Studies Answer Key 2024
Accountancy CBSE Class 12 Accountancy Answer Key 2024
Political Science CBSE Class 12 Political Science Answer Key 2024
Biology CBSE Class 12 Biology Answer Key 2024
Economics CBSE Class 12 Economics Answer Key 2024
Psychology CBSE Class 12 Psychology Answer Key 2024
Home Science CBSE Class 12 Home Science Answer Key 2024
Physical Education CBSE Class 12 Physical Education Answer Key 2024
Physics CBSE Class 12 Physics Answer Key 2024
Geography CBSE Class 12 Geography Answer Key 2024
Chemistry CBSE Class 12 Chemistry Answer Key 2024
English Core CBSE Class 12 English Core Answer Key 2024
Hindi CBSE Class 12 Hindi Core Answer Key 2024
Biotechnology CBSE Class 12 Biotechnology Answer Key 2024
Entrepreneurship CBSE Class 12 Entrepreneurship Answer Key 2024

CBSE Class 12 2024 Weightage Subject-Wise |

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

Subject Weightage Link
Home Science CBSE Class 12 Home Science Weightage 2024
Psychology CBSE Class 12 Psychology Weightage 2024
Economics CBSE Class 12 Economics Weightage 2024
Biology CBSE Class 12 Biology Weightage 2024
Political Science CBSE Class 12 Political Science Weightage 2024
Accountancy CBSE Class 12 Accountancy Weightage 2024
Business Studies CBSE Class 12 Business Studies Weightage 2024
History CBSE Class 12 History Weightage 2024
Sociology CBSE Class 12 Sociology Weightage 2024
Computer Science CBSE Class 12 Computer Science Weightage 2024
Informatics Practices CBSE Class 12 Informatics Practices Weightage 2024

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