Mathematics-Trigonometry (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 29 - 33 of 48

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Question number: 29

» Mathematics » Trigonometry

MCQ▾

Question

PQR is a right angled at Q. If X and Y are the mid-points of the sides PQ and QR respectively, then which one of the following is correct?

Choices

Choice (4) Response

a.

RX 2 + PY 2 = 5XY 2

b.

4 (RX 2 + PY 2) = 5PR 2

c.

RX 2 + PY 2 = 3 {PQ 2 + QR 2)

d.

None of the above

Question number: 30

» Mathematics » Trigonometry

MCQ▾

Question

If a flagstaff of 6 m high placed on the top of a tower throws a shadow of 23m along the ground, then the angle that the Sun makes with the ground, is

Choices

Choice (4) Response

a.

90°

b.

30°

c.

60°

d.

45°

Question number: 31

» Mathematics » Trigonometry

MCQ▾

Question

If sin2x+sin2y+sin2z = (sinx+siny+sinz)2 , then which of the following expressions must necessarily be true?

Choices

Choice (4) Response

a.

tan x + tan y + tan z

b.

cos x + cos y + cos z

c.

1sinx+1siny+1sinz

d.

1cosx+1cosy+1cosz

Question number: 32

» Mathematics » Trigonometry

MCQ▾

Question

A triangle formed by the points A (2, 5), B (3, 8) and C (x, y). If the centroid of the triangle is (3, 5), what is the coordinate of point C?

Choices

Choice (4) Response

a.

(4, 2)

b.

(2, 4)

c.

(-4, -2)

d.

None of the above

Question number: 33

» Mathematics » Trigonometry

MCQ▾

Question

An aero plane flying at a height of 300 m above the ground phase vertically above another plane at an instant when the angle of elevation of the two planes from the same point on the ground are 60° and 45°, respectively. The height of the lower plane from the ground (in m) is

Choices

Choice (4) Response

a.

50

b.

103

c.

150

d.

1003

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