2nd PUC Mathematics Answer Key 2025 Karnataka (Available): Unofficial key PDF download
Aspirants can check and download the unofficial 2nd PUC Mathematics Answer Key 2025 Karnataka for all short answer questions here. 2nd PUC Mathematics 2025 paper was held on March 3.
2nd PUC Mathematics Answer Key 2025 Karnataka : Candidates can check out 2nd PUC Mathematics Answer Key 2025 Karnataka here. The answer key is unofficial in nature, and is provided only for the objective segment of the paper. Furthermore, the questions are also mentioned in the table below. As a result, candidates can check the answers of all 15 questions within Part A, but not for Part B, C, D, and E. These parts are subjective, and opinion-based, therefore, are not shared.
2nd PUC Mathematics Answer Key 2025 Karnataka
Aspirants can check the unofficial answer key for the Karnataka 2nd PUC Mathematics 2025 exam in the table below.
Part A: I - Multiple Choice Questions
| Q.No. | Question | Answer Key |
| 1 | A relation R in a set A is called Reflexive relation if | (a) (a, a) ∈ R for all a ∈ A |
| 2 | The principal value of sin -1 (1/√2) is | (c) π/4 |
| 3 |
Match List - I with List - II.
List-I (A) Domain of sin -1 x (B) Range of tan -1 x (C) Range of cos -1 x List - II (i) ((- π/2, π/2) (ii) [0, π] (iii) [-1,1] Choose the correct answer from the options given below : | (d) A-iii, B-i, C-ii |
| 4 | For a 2 x 2 matrix A=[a ij ] whose elements are given by a overline a ij = 2i - j then A is equal to |
(b) [ 1 0 ]
[ 3 2 ] |
| 5 | Let A be a nonsingular matrix of order 3 x 3 then |adj A| is equal to | (b) 3|A| |
| 6 | If f(x) = 2cosx, then f'(π/4) is | (a) 2 |
| 7 |
For the given figure consider the following statements 1 and 2:
Statement 1: Left hand derivative of y = f(x) at x = 1 is -1. Statement 2: The function y = f(x) is differentiable at x = 1 Then which of the following are true? | (a) Statement 1 is true, Statement 2 is false |
| 8 | The absolute maximum value of the function f given by f(x) = x 3 , x ∈ [- 2, 2] is | (d) 8 |
| 9 | ∫ e x (sinx - cosx) dx is | (c) e x sinx |
| 10 | The degree of the differential equation is d 3 y/dx 3 + d 2 y/dx 2 + e dy/dx = 0 is | (d) Not defined |
| 11 | The direction cosines of the vector vec a = i - j + 2k are | (b) 1/√6, -1/√6, 2/√6 |
| 12 | The angle between two vectors a and b with |a| = √3, |b| = 2 and a . b = √6 is | (c) π/4 |
| 13 | The equation of y-axis in space is | (b) x = 0 z = 0 |
| 14 | If P(A) = 1/2, P(B|A)= 2/3 then P( A ∩ B) is | (c) 1 |
| 15 |
Assertion [A]: For two events E and F if P(E) = 1/5, P(F) = 1/2, P(E|F)= 1/5, then E and F are independent events. and
Reason [R]: If E and Fare two independent events then P(F|E)= P(F) Then which of the following are true? | (c) Both [A] and [R] are true |
Part A: II - Fill in the blanks
| Q.No. | Question | Answer Key |
| 16 | The value of cos(sec -1 (2) - sin -1 (√3/2) is | 1 |
| 17 | If y = sin -1 (cos x) then dy/dx = | -1 |
| 18 | The value of 7 ∫ 13 1 dx = | 6 |
| 19 | The projection of vector i + j along the vector i - j is | 0 |
| 20 | If P(A ∩ B)= 4/13 and P(B) = 9/13 then P(A'|B) = | 5/9 |
2nd PUC Karnataka Mathematics Exam Analysis 2025 Link
Candidates can check out the Karnataka 2nd PUC Mathematics Exam Analysis 2025 by clicking here:
Candidates can assign themselves marks as per the unofficial answers and the marking scheme set by the authorities to vaguely analyze their overall performance in the test, and what marks they can get in the examination. The official answer key will be released by the conducting authorities after all the exams are concluded. Till then, candidates can refer to the unofficial answer key prepared by CollegeDekho experts here to evaluate their performance, their passing chances, and their score. Though performance in the subjective section cannot be analyzed with this answer key, candidates can at least get an idea of how the objective section of the paper went for them.
2nd PUC Answer Key 2025 Karnataka Subject-Wise |
| Subject | Answer Key Link |
| Business Studies | 2nd PUC Business Studies Answer Key 2025 Karnataka |
| Political Science | 2nd PUC Political Science Answer Key 2025 Karnataka |
| History | 2nd PUC History Answer Key 2025 Karnataka |
| Physics | 2nd PUC Physics Answer Key 2025 Karnataka |
| Accountancy | 2nd PUC Accountancy Answer Key 2025 Karnataka |
| Chemistry | 2nd PUC Chemistry Answer Key 2025 Karnataka |
| Economics | 2nd PUC Economics Answer Key 2025 Karnataka |
| English | 2nd PUC English Answer Key 2025 Karnataka |
| Geography | 2nd PUC Geography Answer Key 2025 Karnataka |
| Biology | 2nd PUC Biology Answer Key 2025 Karnataka |
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