CBSE 12 Maths Question Paper-2020 Set-4 by Pavan | Practice Test to Test Your Knowledge
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CBSE 12 Maths Question Paper-2020 Set-4

CBSE 12 Maths Question Paper-2020 Set-4

This mock test includes actual CBSE Class 12 Maths board exam questions from the year 2020 set-4, helping students understand exam trends and practice real paper format

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

Duration

30 min

Questions

30

Marking

Negative

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Questions Preview

The two planes x – 2y + 4z = 10 and 18x + 17y + kz = 50 are perpendicular, if k is equal to

A
-4
B
4
C
2
D
-2

If A = [2 -3 4], B = [3 2 2], X = [1 2 3] and Y = [2 3 4], then AB + XY equals

A
[28]
B
[24]
C
28
D
24

The value of sin–1(cos 3π/5) is

A
π/10
B
3π/5
C
-π/10
D
-3π/5

From the set {1,2,3,4,5}, two numbers a and b (a ≠ b) are chosen at random. The probability that a/b is an integer is

A
1/3
B
1/4
C
1/2
D
3/5

The value of tan–1(1/2 cos–1(5/3)) is

A
3 + 5/2
B
3 – 5/2
C
-3 + 5/2
D
-3 – 5/2

If a . b = 1/2 |a| |b|, then the angle between a and b is

A
B
30°
C
60°
D
90°

The two lines x = ay + b, z = cy + d; and x = a'y + b', z = c'y + d' are perpendicular to each other, if

A
a/a' + c/c' = 1
B
a/a' + c/c' = -1
C
aa' + cc' = 1
D
aa' + cc' = -1

The two planes x – 2y + 4z = 10 and 18x + 17y + kz = 50 are perpendicular, if k is equal to

A
-4
B
4
C
2
D
-2

From the set {1, 2, 3, 4, 5}, two numbers a and b (a ≠ b) are chosen at random. The probability that a/b is an integer is

A
1/18
B
1/36
C
1/12
D
1/24

The number of points at which zmax occurs in a linear programming problem (LPP) if the objective function has the same maximum value at two corner points of the feasible region is

A
0
B
2
C
finite
D
infinite

If A = [2 -3 4], B = [3 2 2], X = [1 2 3] and Y = [2 3 4], then AB + XY equals

A
[28]
B
[24]
C
28
D
24

The value of sin–1(cos 3π/5) is

A
π/10
B
3π/5
C
-π/10
D
-3π/5

The two planes x – 2y + 4z = 10 and 18x + 17y + kz = 50 are perpendicular, if k is equal to

A
-4
B
4
C
2
D
-2

The value of tan–1(1/2 cos–1(5/3)) is

A
3 + 5/2
B
3 – 5/2
C
-3 + 5/2
D
-3 – 5/2

If a . b = 1/2 |a| |b|, then the angle between a and b is

A
B
30°
C
60°
D
90°

The two lines x = ay + b, z = cy + d; and x = a'y + b', z = c'y + d' are perpendicular to each other, if

A
a/a' + c/c' = 1
B
a/a' + c/c' = -1
C
aa' + cc' = 1
D
aa' + cc' = -1

If the set {1,2,3,4,5} is considered, what is the probability that a randomly selected number is an integer?

A
1/3
B
1/4
C
1/2
D
3/5

The probability that a randomly selected number from the set {1,2,3,4,5} is an integer is

A
1/18
B
1/36
C
1/12
D
1/24

From the set {1,2,3,4,5}, two numbers a and b (a ≠ b) are chosen at random. The probability that a/b is an integer is

A
1/3
B
1/4
C
1/2
D
3/5

The value of sin–1(cos 3π/5) is

A
π/10
B
3π/5
C
-π/10
D
-3π/5

The probability that a randomly selected number from the set {1,2,3,4,5} is an integer is

A
1/3
B
1/4
C
1/2
D
3/5

The value of tan–1(1/2 cos–1(5/3)) is

A
3 + 5/2
B
3 – 5/2
C
-3 + 5/2
D
-3 – 5/2

The two lines x = ay + b, z = cy + d; and x = a'y + b', z = c'y + d' are perpendicular to each other, if

A
a/a' + c/c' = 1
B
a/a' + c/c' = -1
C
aa' + cc' = 1
D
aa' + cc' = -1

The value of sin–1(cos 3π/5) is

A
π/10
B
3π/5
C
-π/10
D
-3π/5

The probability that a randomly selected number from the set {1,2,3,4,5} is an integer is

A
1/3
B
1/4
C
1/2
D
3/5

The value of tan–1(1/2 cos–1(5/3)) is

A
3 + 5/2
B
3 – 5/2
C
-3 + 5/2
D
-3 – 5/2

The two lines x = ay + b, z = cy + d; and x = a'y + b', z = c'y + d' are perpendicular to each other, if

A
a/a' + c/c' = 1
B
a/a' + c/c' = -1
C
aa' + cc' = 1
D
aa' + cc' = -1

The value of sin–1(cos 3π/5) is

A
π/10
B
3π/5
C
-π/10
D
-3π/5

The probability that a randomly selected number from the set {1,2,3,4,5} is an integer is

A
1/3
B
1/4
C
1/2
D
3/5

The two planes x – 2y + 4z = 10 and 18x + 17y + kz = 50 are perpendicular, if k is equal to

A
-4
B
4
C
2
D
-2