# Mathematics-Trigonometry (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 16 - 22 of 51

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## Question number: 16

» Mathematics » Trigonometry

MCQ▾

### Question

Given that and area of ∆ ABC = 16, area of ∆PQR = 9.

If PQ = 18 cm and BC = 12 cm. Then, AB and QR are, respectively

### Choices

Choice (4) Response

a.

13.5 cm, 16 cm

b.

9 cm, 24 cm

c.

32 cm, 6.75 cm

d.

24 cm, 9 cm

## Question number: 17

» Mathematics » Trigonometry

MCQ▾

### Question

In right ∆ABC, BC = 7 cm, AC - AB = 1 cm and ∠ B = 90°. The value of is

### Choices

Choice (4) Response

a.

1/7

b.

32/24

c.

25/31

d.

31/25

## Question number: 18

» Mathematics » Trigonometry

MCQ▾

### Question

The angles of elevations of the top of the tower from two points in the same straight line and at a distance of 9 m and 16 m from the base of the tower are complementary. The height of the tower is

### Choices

Choice (4) Response

a.

18 m

b.

10m

c.

16m

d.

12m

## Question number: 19

» Mathematics » Trigonometry

MCQ▾

### Question

The angles of a triangle are . Find the value of x.

### Choices

Choice (4) Response

a.

22°

b.

30°

c.

25°

d.

35°

## Question number: 20

» Mathematics » Trigonometry

MCQ▾

### Question

The value of is equal to

### Choices

Choice (4) Response

a.

2

b.

1

c.

d.

0

## Question number: 21

» Mathematics » Trigonometry

MCQ▾

### Question

If sin (θ + ϕ) = 2 sin (θ - ϕ), then

### Choices

Choice (4) Response

a.

sin θ = 3 sin θ

b.

sin ϕ =sin 2 θ

c.

cot ϕ = 3 tan θ

d.

tan θ = 3 tan ϕ

## Question number: 22

» Mathematics » Trigonometry

MCQ▾

### Question

∆ABC is a right angled at C and P is the length of the perpendicular from C to AB. If BC = a, AC = b, and AB = c, then

### Choices

Choice (4) Response

a.

b.

c.

d.

All of the above

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