CBSE 12 Maths Question Paper-2020 Set-5 by Pavan | Practice Test to Test Your Knowledge
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  3. CBSE 12 Maths Question Paper-2020 Set-5
CBSE 12 Maths Question Paper-2020 Set-5

CBSE 12 Maths Question Paper-2020 Set-5

This mock test includes actual CBSE Class 12 Maths board exam questions from the year 2020 set-5, helping students understand exam trends and practice real paper format

2025-08-07
Pavan Pavan
CBSE Class 12 2020 Mathematics Grade 12

Duration

30 min

Questions

30

Marking

No Negative

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Questions Preview

If [x 1] = [1 0] - [2 0] = O, then x equals?

A
0
B
-2
C
-1
D
2

The integral of x^3 dx equals?

A
12x log12 + C
B
4x log4 + C
C
4x * 3x log4 * log3 + C
D
3x log3 + C

If the probability of event A is 0.3 and event B is 0.6, what is P(A ∩ B)?

A
0.2
B
0.3
C
0.4
D
0.5

In a rhombus ABCD with diagonals intersecting at E, what is EA + EB + EC + ED?

A
0
B
AD
C
2
D
BC

If A is a matrix such that A (adj A) = 10I, then what is |adj A|?

A
1
B
10
C
100
D
101

The graph of the inequality 2x + 3y > 6 is:

A
half plane that contains the origin.
B
half plane that neither contains the origin nor the points of the line 2x + 3y = 6.
C
whole XOY – plane excluding the points on the line 2x + 3y = 6.
D
entire XOY plane.

If î , ĵ , k̂ are unit vectors along three mutually perpendicular directions, then:

A
î . ĵ = 1
B
î x ĵ = 1
C
î . k̂ = 0
D
î x k̂ = 0

A number is chosen randomly from numbers 1 to 60. The probability that the chosen number is a multiple of 2 or 5 is:

A
2/5
B
3/5
C
7/10
D
9/10

The lines x – 2 = 1, y – 3 = 1, z – 4 = k and x – 1 = k, y – 4 = 2, z – 5 = –2 are mutually perpendicular if the value of k is:

A
-2/3
B
2/3
C
-2
D
2

If y = Ae5x + Be–5x, then d²y/dx² is equal to:

A
25y
B
5y
C
-25y
D
15y

If A and B are square matrices each of order 3 and |A| = 5, |B| = 3, then the value of |3AB| is:

A
15
B
10
C
5
D
45

The least value of the function f(x) = ax + b/x (a > 0, b > 0, x > 0) is:

A
0
B
a
C
b
D
ab

The vector equation of a line which passes through the points (3, 4, –7) and (1, –1, 6) is:

A
r = (1, -1, 6) + t(2, 5, 13)
B
r = (3, 4, -7) + t(4, -5, 3)
C
r = (3, 4, -7) + t(1, 2, -3)
D
r = (1, -1, 6) + t(3, 6, -2)

The integrating factor of the differential equation x (dy/dx) + 2y = x² is:

A
x
B
x²
C
x³
D
e^x

A relation in a set A is called reflexive, if each element of A is related to itself. What is this relation called?

A
Equivalence
B
Partial Order
C
Reflexive
D
Symmetric

Evaluate: sin(π/3) – sin⁻¹(–1/2).

A
1
B
0
C
π/2
D
π/6

Using differentiation, find the approximate value of 36.6 up to 2 decimal places.

A
36.60
B
36.50
C
36.70
D
36.55

Find the value of ∫ from 1 to 4 |x – 5| dx.

A
10
B
20
C
15
D
30

The function f(x) = x² – 9/x – 3 is continuous if:

A
k = 0
B
k = 1
C
k = 2
D
k = 3

If A = [[3, –4], [1, –1]] and B = [[1, 2], [3, 4]], find AB.

A
[[3, 4], [5, 6]]
B
[[0, 0], [0, 0]]
C
[[1, 4], [7, 10]]
D
[[1, 2], [3, 4]]

Evaluate the integral: ∫ (x + 1)/(x(x+1)) dx.

A
ln(x)
B
ln(x+1)
C
ln(x) + ln(x+1)
D
x + 1

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

A
1
B
2
C
3
D
4

A matrix A is given by A = [[1, 2], [3, 4]]. The determinant of A is:

A
4
B
-2
C
0
D
5

Find the slope of the tangent to the curve y = 2 cos²(3x) at x = π/6.

A
5
B
4
C
2
D
1

Find the value of the integral ∫ (x² – 4)/(x + 2) dx.

A
x² – 2x + C
B
x + 2x² + C
C
x² + 4x + C
D
x² – 3x + C

If the sum of two vectors A and B is equal to the zero vector, then A is equal to:

A
–B
B
B
C
A + B
D
0

The probability that a card picked at random from a pack of 52 cards is a queen is:

A
1/13
B
1/4
C
1/52
D
1/26

The value of sin(45°) is:

A
1/√2
B
1/√3
C
1
D
0

If f(x) = x⁴ – 10x, then f'(x) is:

A
4x³ – 10
B
4x³ + 10
C
4x² – 10
D
4x² + 10

The value of the integral ∫ (2x + 1) dx is:

A
x² + x + C
B
x² + x + C/2
C
x² + x/2 + C
D
x² + 2x + C