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CBSE Class 12 Maths Answer Key 2024 with Question Paper PDF

On March 9, 2024, the CBSE Class 12 Mathematics Paper was administered. Here we have provided the CBSE Class 12 Maths Answer Key 2024 for the students to check their responses.
authorImageNeha Tanna21 Mar, 2024
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CBSE Class 12 Maths Answer Key 2024

CBSE Class 12 Maths Answer Key 2024: On March 9, 2024, the CBSE Class 12 Mathematics Paper was administered. Generally speaking, students may feel anxious about the number of questions they answered correctly after taking the exam. The right answers to every question on the test are included in the CBSE Class 12 Maths answer key 2024. The solution key is available for students to use in estimating their likely scores.

Following the exam, all sets of the class 12 Mathematics answer key 2024 were made available on this page by our highly qualified teachers. However, students need to remember that the solution key cannot always be accurate and to double-check with the sources.

CBSE Class 12 Maths Answer Key 2024

This concludes the CBSE Class 12 Maths Paper. The paper was deemed mild based on the student's initial reactions. It would fall into the moderate to challenging range. After the exam, students are anxiously looking for the CBSE Class 12 Maths Answer Key 2024. To assist you, our Experienced faculty provides you with a comprehensive explanation and an unofficial Class 12 Maths Answer Key 2024 of all sets. By using the Answer Key to compare their answers to each question they attempted on the exam, students can get an estimate of their scores. We are the first to provide Maths Answer Key 2024 for all sets, so make sure to bookmark this page and return often.

CBSE Class 12 Maths Question Paper PDF

CBSE Class 12 Maths Answer Key 2024

We offer the comprehensive, completely correct CBSE Class 12 Maths Answer Key 2024 for every set as soon as possible following the exam. The math solution keys for every set are meticulously evaluated by our in-house specialists regularly. Keep in touch with us.

CBSE Class 12 Maths Answer Key 2024 Set 1

Section - A

1. If the sum of all the elements of a 3 x 3 scalar matrix is 9, then the product of all its elements is:

(A) 0 (B) 9 (C) 27 (D) 729

Answer: (C) 27

2. Let f: R+ [5, ∞) be defined as f(x) = 9×2 + 6x – 5, where R, is the set of all non-negative real numbers. Then, f is:

(A) one-one (B) onto (c) bijective (D) neither one-one nor onto

Answer: (A) one-one

5. The function f(x) = x³-3x² + 12x – 18 is:

(A) strictly decreasing on R (B) strictly increasing on R (C) neither strictly increasing nor strictly decreasing on R (D) strictly decreasing on (-∞, 0)

Answer:(B) strictly increasing on R

7. The differential equation dy dx differential equation, if F(x, y) is: = F(x, y) will not be a homogeneous

(A) cos x – sin (y/x) (B) y/x (C) (x²+y²)/xy (D) cos²(x/y)

Answer:(A) cos x – sin (y/x)

9. The coordinates of the foot of the perpendicular drawn from the point (0, 1, 2) on the x-axis are given by:

(A) (1, 0, 0) (B) (2, 0, 0) (C) (√5, 0, 0) (D) (0, 0, 0)

Answer:(C) (√5, 0, 0)

10. The common region determined by all the constraints of a linear programming problem is called:

(A) an unbounded region (B) an optimal region (C) a bounded region (D) a feasible region

Answer:(D) a feasible region

11. Let E be an event of a sample space S of an experiment, then P(S|E) =

(A) P(S∩E) (B) P(E) (C) 1 (D) 0

Answer:(C) 1

12. If A = [ajj] be a 3 x 3 matrix, where ajj = i – 3j, then which of the following is false?

(A) a11 < 0 (B) a12 + a21= – 6 (C) a13 > a31 (D) a31= 0

Answer:(C) a13 > a31

13. The derivative of tan-1 (x2) w.r.t. x is:

(A) x/1+x4 (B) 2x/1+x4 (C) – 2x/1+x4 (D) 1/4 1+x4

Answer:(B) 2x/1+x4

14. The degree of the differential equation (y”)2 + (y’)³ = x sin (y’) is:

(A) 1 (B) 2 (C) 3 (D) not defined.

Answer:(D) not defined

18. If a line makes an angle of 30° with the positive direction of x-axis, 120° with the positive direction of y-axis, then the angle which it makes with the positive direction of z-axis is:

(A) 90° (C) 60° (B) 120° (D) 0°

Answer: (A) 90°

Questions number 19 and 20 are Assertion and Reason based questions. Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the codes (A), (B), (C) and (D) as given below. (A) Both Assertion (A) and Reason (R) are true and 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): For any symmetric matrix A, B’AB is a skew-symmetric matrix.

Reason (R): A square matrix P is skew-symmetric if P’ = – P.

Answer: (D) Assertion (A) is false, but Reason (R) is true.

CBSE Class 12 Maths Answer Key 2024 Set 2

The Class 12 Set 2 Maths Sections A Answers are available in the table below.

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 Maths Answer Key 2024 Set 3

The Class 12 Set 3 Maths Answers for Sections A are available in the table below.

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 Maths Marking Scheme 2024

Look below for the CBSE Class 12 Maths 2024 marking scheme. The marking system used in today's CBSE Class 12 Maths Question Paper 2024 was exactly the same.

CBSE Class 12 Maths Marking Scheme 2024

Section No of Questions Total Marks Type of Questions
Section- A 18 1 x 18 = 18 MCQs
Section- B 5 2 x 5 = 10 Very Short Answer Questions
Section- C 6 3 x 6 = 18 Short Answer Questions
Section- D 4 5 x 4 = 20 Long Answer Questions
Section- E 3 4 x 3 = 12 Short Answer Questions

Class 12 Maths Question Paper Analysis 2024: Students’ Review

We conducted interviews with the students who took the maths exam for class 12 outside to find out their thoughts on the examination. See what students have to say about the Class 12 Maths Question Paper 2024 below:
  • It was a somewhat difficult question paper. It would range from easy to difficult.
  • The document was not too long.
  • The paper's severe MCQs and Assertion-Reasoning made Section A the most challenging section.
  • Both the MCQs and the Assertion Reasoning were difficult and took a while.
  • The questions on very short answers and brief responses were both average. A combination of simple and complex questions was asked.
  • Compared to the other sections of the article, the case study was quite simple.
  • Application-based questions (case study/assertion reasoning) were included in the paper.
  • Nothing that wasn't covered in the syllabus was asked.
  • The format of the sample paper and the marking scheme were followed by the question paper.

Class 12 Maths Paper Analysis 2024: Experts’ Review

We spoke with a few teachers who are subject matter experts after the exam to get their opinions on the maths question paper.
  • There's a good balance between simple and complex questions in MCQs.
  • Comparatively speaking, the case study was simpler than the other assignments.
  • The format of the sample paper served as the sole model for the question paper.
  • Student scores are raised in the middle sections. When faced with application-based issues, students must use logic, apply formulas, and find relevant solutions.
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CBSE Class 12 Maths Answer Key 2024 FAQs

What is the difficulty of math paper in CBSE exam?

The paper was of easy to moderate level in difficulty with NCERT questions.

What is the internal marks of maths class 12?

CBSE Class 12 Maths Exam is of total 100 marks with 80 marks for theory paper and 20 marks for internal assessment.

Will CBSE give grace marks in maths?

Yes, CBSE gives grace marks to those students who are unable to clear the exam by a maximum of 3 marks in the exam.
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