CBSE 12 Maths Question Paper-2022 Set-1 by Pavan | Practice Test to Test Your Knowledge
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  3. CBSE 12 Maths Question Paper-2022 Set-1
CBSE 12 Maths Question Paper-2022 Set-1

CBSE 12 Maths Question Paper-2022 Set-1

This mock test includes actual CBSE Class 12 Economics board exam questions from the year 2022 Set-1, helping students understand exam trends and practice real paper format

2025-08-14
Pavan Pavan
CBSE Class 12 2022 Grade 12 Mathematics

Duration

20 min

Questions

20

Marking

Negative

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Questions Preview

If the matrix A = [[3, -2], [4, -2]], find k such that A squared = k times A - 2 times I.

A
k=1
B
k=2
C
k=3
D
k=4

If A = [[1, -1], [-1, 1]] and A squared = k times A, then the value of k is:

A
1
B
2
C
-1
D
-2

Let A and B be two matrices such that AB = A and BA = B. Then B squared is equal to:

A
B
B
A
C
I
D
O

If A is the 3x3 identity matrix, then the determinant of A is:

A
0
B
1
C
-1
D
3

If A = [[0, 1, -1], [-1, 0, 1], [1, -1, 0]], then the determinant of A is:

A
1
B
0
C
2
D
-2

If A is a square matrix of order 3, and the determinant of (3 times A) = k times the determinant of A, then k equals:

A
3
B
6
C
9
D
27

If y = e^(ax) * cos(bx), then the differential equation is:

A
y'' - 2ay' + (a^2 + b^2)y = 0
B
y'' + 2ay' - (a^2 + b^2)y = 0
C
y'' - a^2y' + b^2y = 0
D
y'' + a^2y' - b^2y = 0

The particular solution of the differential equation dy/dx = sin(x) with initial condition y(0) = 1 is:

A
y = cos(x)
B
y = -cos(x) + 2
C
y = sin(x) + 1
D
y = cos(x) + 1

The integrating factor of the differential equation x times dy/dx - y = 2x^2 is:

A
x
B
e^x
C
1/x
D
x^2

The degree of the differential equation (1 + dy/dx)^(2/3) = x^2 is:

A
3
B
2
C
1
D
Not defined

The order of the differential equation of all circles with center on the x-axis is:

A
1
B
2
C
3
D
4

What is the degree of the differential equation (d^2y/dx^2)^3 - x(dy/dx) + y = 0?

A
1
B
2
C
3
D
Not defined

Find the general solution of the differential equation dy/dx = (1-y)/(1+x).

A
(1-y)(1+x) = C
B
y = 1 + C(1+x)
C
y = C(1+x) - 1
D
(1+y)(1-x) = C

What is the particular solution of the differential equation dy/dx = y/x with initial condition y(1) = 2?

A
y=2x
B
y=x+1
C
y=x^2+1
D
y=x-1

The integrating factor of the differential equation (1+x^2) * dy/dx + 2xy = 1 is:

A
1+x^2
B
e^(tan^-1(x))
C
1/(1+x^2)
D
ln(1+x^2)

Find the general solution of the differential equation dy/dx = e^(x+y).

A
e^x + e^(-y) = C
B
e^x - e^(-y) = C
C
e^(-x) - e^y = C
D
e^(-x) + e^(-y) = C

The order of the differential equation of all non-vertical lines is:

A
1
B
2
C
3
D
4

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

A
1
B
2
C
3
D
Not defined

If y = C * e^x is the general solution of a differential equation, then the equation is:

A
y' - y = 0
B
y' + y = 0
C
y'' - y = 0
D
y'' + y = 0

Find the integrating factor of the differential equation x * dy/dx + y = x^3.

A
1/x
B
x
C
x^2
D
x^3