CBSE 12 Maths Question Paper-2025 Set-6 by Pavan | Practice Test to Test Your Knowledge
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

CBSE 12 Maths Question Paper-2025 Set-6

CBSE 12 Maths Question Paper-2025 Set-6

This mock test includes actual CBSE Class 12 Maths board exam questions from the year 2025 set-6, helping students understand exam trends and practice real paper format

2025-08-18
CBSE Class 12 2025 Grade 12 Mathematics

Duration

25 min

Questions

22

Marking

Negative

You've not yet enrolled in this practice test. Please login to start practice test.

Questions Preview

The given graph illustrates:

A
y=sec⁻¹x
B
y=tan⁻¹x
C
y=cosec⁻¹x
D
y=cot⁻¹x

Let A be a square matrix of order 3. If |A|=5, then |adj A| is:

A
125
B
5
C
25
D
-5

If A and B are two square matrices each of order 3 with |A|=3 and |B|=5, then |2AB| is:

A
15
B
120
C
225
D
30

What is the total number of possible matrices of order 3x3 with each entry as √2 or √3?

A
9
B
512
C
64
D
615

Domain of f(x)=cos⁻¹x+sin x is:

A
(-1, 1)
B
[-1, 1]
C
R
D
φ

The matrix A = [[√3, 0, 0], [0, √2, 0], [0, 0, √5]] is a/an:

A
null matrix
B
scalar matrix
C
symmetric matrix
D
identity matrix

If f(x) = -2x⁸, then the correct statement is:

A
f'(1/2) = f'(-1/2)
B
f'(1/2) = -f'(-1/2)
C
f(1/2) = -f(-1/2)
D
-f'(1/2) = f(-1/2)

If f(x) = {3ax-b, x>1; 11, x=1; -5ax-2b, x<1} is continuous at x=1, then the values of a and b are:

A
a=3, b=5
B
a=1, b=-8
C
a=-3, b=5
D
a=8, b=-1

If [[2x-1, 3x], [0, y²-1]] = [[x+3, 12], [0, 35]], then the value of (x-y) is:

A
2 or 10
B
-2 or 10
C
2 or -10
D
-2 or -10

Study the given graph. It illustrates:

A
y=sec⁻¹x
B
y=cos⁻¹x
C
y=tan⁻¹x
D
y=sin⁻¹x

If f(x) = {sin²(ax)/x², if x≠0; 1, if x=0} is continuous at x=0, then the value of 'a' is:

A
1
B
-1
C
0
D
±1

If f(x) = {1, if x≤3; ax+b, if 3

A
a=3, b=8
B
a=-3, b=8
C
a=3, b=-8
D
a=-3, b=-8

If A = [[2, 0], [1, 5]] and B = [[1, 2], [0, -1]], find |2A - B|

A
16
B
-16
C
30
D
10

If a function is continuous at a point, then it is differentiable at that point. Is this statement true or false?

A
True
B
False
C
Partially True
D
Insufficient Data

If x=sin t, y=sin 2t, then at t=π/4, dy/dx is equal to:

A
√2
B
2√2
C
1/√2
D
2

The function f(x) = |x-3| is:

A
continuous and differentiable at x=3
B
continuous but not differentiable at x=3
C
differentiable but not continuous at x=3
D
neither continuous nor differentiable at x=3

If y = log(x²), then dy/dx is:

A
2/x
B
C
log(2x)
D
1/x²

If y=tan⁻¹(eˣ), then dy/dx is equal to:

A
eˣ/(1+x²)
B
1/(1+e²ˣ)
C
eˣ/(1+e²ˣ)
D
eˣ/(1+eˣ)²

The value of ∫(e³logx + eˣlog3) dx is:

A
x⁴/4 + 3ˣ/log3 + C
B
3x² + x3³/logx + C
C
3eˣlogx + x³log3 + C
D
3/x + logx + C

If A = [[2, 3], [5, 1]], then A⁻¹ is equal to:

A
1/13 [[1, -3], [-5, 2]]
B
[[1, -3], [-5, 2]]
C
1/13 [[-1, 3], [5, -2]]
D
1/13 [[-1, -3], [-5, -2]]

The degree of the differential equation (d²y/dx²)³ + (dy/dx)² + y = 0 is:

A
1
B
2
C
3
D
0

The order of the differential equation d²y/dx² + cos(dy/dx) = 0 is:

A
0
B
1
C
2
D
3