Mathematics-Trigonometry (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 19 - 23 of 48

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Question number: 19

» Mathematics » Trigonometry

MCQ▾

Question

If from a circular sheet of paper of radius 10 cm, a sector of area 40 % is removed and the remaining is used to make a conical surface, then the angle at the vertex will be

Choices

Choice (4) Response

a.

2sin145

b.

sin145

c.

sin135

d.

2sin135

Question number: 20

» Mathematics » Trigonometry

MCQ▾

Question

If three sides of a right angled triangle are integers in their lowest form, then one of its sides is always divisible by

Choices

Choice (4) Response

a.

5

b.

7

c.

6

d.

8

Question number: 21

» Mathematics » Trigonometry

MCQ▾

Question

If sinx+sin2x=1 , then the value of cos2x+cos4x is

Choices

Choice (4) Response

a.

-1

b.

1

c.

2

d.

-2

Question number: 22

» Mathematics » Trigonometry

MCQ▾

Question

The angle of elevation of a cloud at a height h above the level of water in a lake is α and the angle of depression of its image in the lake is β . Then, the height of the cloud above the surface of the lake is

Choices

Choice (4) Response

a.

h(cotαcotβ)cotα+cotβ

b.

hsin(αβ)sin(α+β)

c.

h(cotα+cotβ)cotαcotβ

d.

None of the above

Question number: 23

» Mathematics » Trigonometry

MCQ▾

Question

The triangle formed by joining the vertices (3, 2), (5, - 3) and (- 5, 4) will be a

Choices

Choice (4) Response

a.

isosceles triangle

b.

right angled triangle

c.

obtuse triangle

d.

acute triangle

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