HBSE Class 12th Mathematics Question Paper 2025 With Answer Key: FREE PDF Download

HBSE Class 12th Mathematics Question Paper 2025: Are you trying to find the Haryana Board Class 12 Maths question paper as well? Don't worry, though; we've got you covered. Thousands of students appeared for the crucial paper, which is considered one of the most challenging subjects in the curriculum. The exam was held under strict invigilation to ensure a fair and smooth process. Initial reactions from students indicated a mix of responses, with some finding the paper moderately difficult while others deemed it manageable. More updates on student feedback and expert analysis to follow. To obtain the Haryana Board class 12 Maths question paper and answer key for free, visit this page. Download the PDF for free as well.

HBSE Class 12th Mathematics Exam 2025: Highlights

In this table, we are providing the key highlights of the Haryana Board Class 12th Maths exam. 

HBSE Class 12 Mathematics Marking Scheme 2025

Check the HBSE Class 12 Maths Marking Scheme 2025 from the table below. Know about the types of questions, mark weightage, typology of questions, and more.

Haryana Board HBSE Class 12th Maths Question Paper 2025

Below is the provided set for HBSE Class 12th Maths Question Paper 2025. 

HBSE Class 12th Maths Question Paper Download PDF 

HBSE Class 12th Mathematics Answer Key 2025

Below are the answers for Haryana Board Class 12th Maths Answer Key.

Question 1:

Let f:R→Rf: R \to R be defined by f(x)=x2f(x) = x^2, then f(x) is:

(A) one-one onto
(B) many one onto
(C) one-one but not onto
(D) neither one-one nor onto
Correct answer: (D) neither one-one nor onto

Question 2:

Correct Answer: (C) -π/4

Question 3:

The total number of all possible matrices of order 3×3  with entries 0 or 2 is:

(A) 27
(B) 18
(C) 81
(D) 512

Correct answer: (D) 512

Question 4:

The function f(x)=⌊x⌋, where ⌊x⌋ denotes the greatest integer function, is continuous at:

(A) 4
(B) -2
(C) 1
(D) 1.5

Correct answer: (D) 1.5

Question 5:

The function f(x)=(x)−[x+1]is:

(A) Continuous at x=0x = 0 as well as at x=−1x = -1
(B) Continuous at x=−1x = -1 but not at x=0x = 0
(C) Discontinuous at x=0x = 0 as well as at x=−1x = -1
(D) Continuous at x=0x = 0 but not at x=−1x = -1

Correct answer: (D) Continuous at x=0x = 0 but not at x=−1

Question 6:

Correct Answer: (D) -tan x - cot x + C

Question 7:

Options:

(A) cos x + x sin x

(B) x sin x

(C) x cos x

(D) sin x + x cos x

Correct Answer: (D) sin x + x cos x

Question 8: 

∫e x . sec x [ 1 + tan x ] dx is equal to: 

Options:
(A) e x cos⁡x+C
(B) e x sec⁡x+C
(C) e x sin⁡x+C
(D) e x tan⁡x+C

Correct Answer: (B) e x sec⁡x+C

Question 9:

The order of the differential equation of all circles of given radius $a$ is:

(A) 1
(B) 2
(C) 3
(D) 4

Correct Answer: (B) 2

Question 10:

Options:

(A) 2

(B) 4

(C) 6

(D) 8

Correct Answer: (D) 8

Question 11:

The direction cosines of the vector i+j−2k are:

Correct answer: (A)

Question 12:

If A and B are events such that P(A/B)=P(B/A)≠0 then:

Correct answer: (D) P(A)=P(B)

Question 13:

If the area of a triangle 35sq units with vertices (2,−6),(5, 4), and (k,4) then k is_______

Corect Answer: 12 or -2

Question 14:

If a line makes an angle of π/4 with each of the y-axis and z-axis, then the angle which it makes with the x-axis is ______

Correct Answer: x =  π/2

Question 15:

If A and B are independent events such that: P(A)=p,P(B)=2p,P( exactly one of A,B)=5/9, then p is _________

Correct Answer: p = 5/12 or p = 1/3

Question 16:

If A is a matrix of order 3 x 3, then what is the number of minors in determinant of A?

Correct Answer: 9

 Also Check:

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