Mathematics-Trigonometry (NTSE Stage-2 (National-Level) Scholastic-Aptitude & Language Comprehension): Questions 1 - 6 of 14

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Question number: 1

» Mathematics » Trigonometry

Appeared in Year: 2013

MCQ▾

Question

∆ ABC is an equilateral triangle of side 23 cms.

P is any point in the interior of ∆ ABC. If x, y, z are the distances of P from the sides of the triangle, then x + y + z =

Choices

Choice (4) Response

a.

2 + 3 cms.

b.

4 cms.

c.

3 cms.

d.

5 cms.

Question number: 2

» Mathematics » Trigonometry

Appeared in Year: 2013

MCQ▾

Question

The value of tan 1° tan2° tan3°……. tan 89° is

Choices

Choice (4) Response

a.

0

b.

0.5

c.

2

d.

1

Question number: 3

» Mathematics » Trigonometry

MCQ▾

Question

The shadow of a tower is 15 m, when the Sun’s elevation is 30°. What is the length of the shadow, when the Sun’s elevation is 60°?

Choices

Choice (4) Response

a.

4 m

b.

3 m

c.

6 m

d.

5 m

Question number: 4

» Mathematics » Trigonometry

MCQ▾

Question

If cotθ=78 then the value of (1+sinθ)(1sinθ)(1+cosθ)(1cosθ) is

Choices

Choice (4) Response

a.

45/54

b.

49/64

c.

49/74

d.

40/65

Question number: 5

» Mathematics » Trigonometry

MCQ▾

Question

A tower stands vertically on the ground. From a point on the ground which is 30 m away from the foot of a tower, the angle of elevation of the top of the tower is found to be 45°. The height of the tower is

Choices

Choice (4) Response

a.

30 m

b.

28 m

c.

35 m

d.

32 m

Question number: 6

» Mathematics » Trigonometry

MCQ▾

Question

The points (2, 2), (6, 3) and (4, 11) are the vertices of

Choices

Choice (4) Response

a.

an equilateral triangle

b.

a right angled triangle

c.

an isosceles triangle

d.

a scalene triangle

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