# Mathematics-Trigonometry (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 11 - 17 of 51

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## Question number: 11

» Mathematics » Trigonometry

MCQ▾

### Question

If and , then is equal to

### Choices

Choice (4) Response

a.

1

b.

-2

c.

2

d.

-1

## Question number: 12

» Mathematics » Trigonometry

MCQ▾

### Question

If = , 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.

d.

## Question number: 13

» 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: 14

» Mathematics » Trigonometry

MCQ▾

### Question

For what value of k, the vertices (2,1), (3,3) and (5, k) form an equilateral triangle?

### Choices

Choice (4) Response

a.

No such value exist

b.

c.

4

d.

2

## Question number: 15

» Mathematics » Trigonometry

MCQ▾

### Question

If , then the value of is

### Choices

Choice (4) Response

a.

3

b.

½

c.

2

d.

1

## 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

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