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HSSC TGT Maths Date 30/4/2023 Morning Shift
📆 December 12, 2024
Total Questions: 100
61.
The number of possible outcomes when a fair coin is tossed 6 times is:
(a) 2⁶
(b) 6
(c) 6²
(d) 12
(e) Unattempted
Correct Answer:
(a) 2⁶
62.
If |a x b| = |a . b|, then the angle between a and b is:
(a) π
(b) π/4
(c) 2π/3
(d) π/2
(e) Unattempted
Correct Answer:
(b) π/4
63.
The area of the region bounded by x² = 4y, y², y = 4 and the y-axis in the 1st quadrant is (in sq. units):
(a) 4/3(4 - √2)
(b) 32/3
(c) 4/3(8 - 2√2)
(d) None of these
(e) Unattempted
Correct Answer:
(c) 4/3(8 - 2√2)
64.
The principal solutions of the trigonometric equation csc(θ) = -2 are:
(a) 7π/6, 11π/6
(b) π/6, -π/6
(c) 5π/6, 7π/6
(d) None of these
(e) Unattempted
Correct Answer:
(a) 7π/6, 11π/6
65.
Family y = Ax + A³ of curves is represented by the differential equation of degree:
(a) 1
(b) 3
(c) 2
(d) None of these
(e) Unattempted
Correct Answer:
(b) 3
66.
The distance of the plane ......................... from the origin is:
(a) 1
(b) 1/7
(c) 2
(d) None of these
(e) Unattempted
Correct Answer:
(a) 1
67.
If sin⁻¹ x + sin⁻¹y = π/2 , then the value of cos⁻¹x + cos⁻¹y is :
(a) π/2
(b) 0
(c) π
(d) 2π/3
(e) Unattempted
Correct Answer:
(a) π/2
68.
The minimum value of 4ˣ + 4¹⁻¹ (X∈R) is :
(a) 2
(b) 1
(c) 4
(d) 0
(e) Unattempted
Correct Answer:
(c) 4
69.
Let A = (x, y, z), B = (1, 2). The number of relations from A to B is:
(a) 32
(b) 16
(c) 64
(d) 6
(e) Unattempted
Correct Answer:
(c) 64
70.
If :
(a) π/4
(b) tan⁻¹ 2
(c) tan⁻¹ e
(d) tan⁻¹ e-π/4
(e) Unattempted
Correct Answer:
(d) tan⁻¹ e-π/4
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