CBSE 12 Maths Question Paper-2022 Set-2 by Pavan | Practice Test to Test Your Knowledge
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  3. CBSE 12 Maths Question Paper-2022 Set-2
CBSE 12 Maths Question Paper-2022 Set-2

CBSE 12 Maths Question Paper-2022 Set-2

This mock test includes actual CBSE Class 12 Maths board exam questions from the year 2022 Set-2, helping students understand exam trends and practice real paper format

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

Duration

20 min

Questions

20

Marking

Negative

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Questions Preview

If a matrix A = [[2, 3], [-1, 2]], then A squared - 4A + 7I is equal to:

A
A
B
I
C
0
D
2I

If A and B are square matrices of order 3 such that |A| = 5 and |B| = 3, then |3AB| is equal to:

A
15
B
135
C
45
D
405

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

A
1
B
2
C
3
D
4

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

A
1
B
2
C
3
D
Not defined

Find the integrating factor of the differential equation x(dy/dx) - y = x^2.

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

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

A
y = xln|x| + C
B
y = xln|x| + Cx
C
y = x/2 + C
D
y = x/2 + C/x

If y = e^x, then dy/dx = y. What is the general solution of the differential equation dy/dx = y?

A
y = Cx
B
y = Ce^x
C
y = x+C
D
y = C/x

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

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

The integrating factor of the differential equation x(dy/dx) - y = 3x^2 is:

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

The general solution of the differential equation dy/dx = (1+y^2)/(1+x^2) is:

A
arctan(y) = arctan(x) + C
B
arctan(y) = arctan(x) + C/x
C
y = x+C
D
tan(y) = tan(x) + C

If a matrix A is both symmetric and skew-symmetric, then A is a:

A
diagonal matrix.
B
zero matrix.
C
identity matrix.
D
scalar matrix.

If A is a square matrix of order n, then the determinant of the adjoint of A is equal to:

A
|A|^(n-1)
B
|A|^n
C
|A|
D
1

The order of the differential equation of the family of curves y = a*sin(x+b) is:

A
1
B
2
C
3
D
4

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

A
1
B
2
C
3
D
Not defined

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

A
1/x
B
x
C
x^2
D
ln(x)

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

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

The matrix A is invertible if and only if:

A
det(A) = 0
B
det(A) != 0
C
A is a square matrix.
D
A is a symmetric matrix.

What is the general solution of the differential equation dy/dx = (y/x) + y/x * log(y/x)?

A
log(x) = C * log(y/x)
B
log(y/x) = C * x
C
log(y/x) = log(x) + C
D
log(y/x) = log(x) + C

The value of the determinant of a skew-symmetric matrix of odd order is always:

A
1
B
0
C
-1
D
det(A) = 0

The solution of the differential equation xdy - ydx = 0 is:

A
y = Cx
B
xy = C
C
x+y = C
D
x/y = C