CBSE Class 12 Mathematics Answer Key 2025

CBSE class 12 Mathematics Answer Key 2025

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Hope you are doing well in your final exams conducted by CBSE. We, here on cbsestudent.com, have provided you answer keys of main papers of Class 10 and Class 12 held so far. You can check them if you have not checked yet.

Today on 08.02.2025, CBSE conducted Mathematics paper for Class 12. So, as usual we are here to provide you Mathematics Answer Key of Paper Code 65/6/3.

The keys will appear one by one for each questions. You need to refresh the page continuously.

Q.1 If tan⁻¹(x² – y²) = a, where ‘a’ is a constant, then dy/dx is:

Answer: Option (A) (x/y)

Answer: Option (D) – square matrix

Answer: Option (A) (y =sec-1 x)

Answer: Option (D) – 7π/12

Q.5 Let both AB’ and B’A be defined for matrices A and B. If the order of A is n × m, then the order of B is:

Answer: Option (B) – n x m

Q.6 Sum of two skew-symmetric matrices of the same order is always a/an:

Answer: Option (A) – skew symmetric matrix

Q.7 If y = a cos(log x) + b sin(log x), then x²y₂ + xy₁ is:

Answer: Option (C) (-y)

Answer: Option (C) (a-b)

Q.9 f(x) = xˣ has a critical point at:

Answer: Option (B) (x = e⁻¹)

Q.10 The solution for the differential equation log(dy/dx) = 3x + 4y is:

Answer: Option (D) (3e⁻⁴ʸ + 4e³ˣ + 12C = 0)

Answer: Option (A) – Z is minimum at S(18/7, 2/7)

Answer: Option (A) – 2,2

Answer: Option (B) (x³ + 3x² + 2/x² + 5x – 11)

Answer: Option (C) – does not exist

Q.15 The area of the region bounded by the curve y² = x between x = 0 and x = 1 is:

Answer: Option (D) – 4/3 sq units

Answer: Option (C) is correct

Q.18 A meeting will be held only if all three members A, B, and C are present. The probability that member A does not turn up is 0.10, member B does not turn up is 0.20, and member C does not turn up is 0.05. The probability of the meeting being cancelled is:

Answer: Option (B) – 0.316

Answer: Option (A) – Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)

Q.20 Assertion (A): Let f(x) = eˣ and g(x) = log x. Then (f + g)x = eˣ + log x where the domain of (f + g) is R. Reason (R): Dom(f + g) = Dom(f) ∩ Dom(g).

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