# Mathematics-Trigonometry (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 10 - 15 of 51

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## Question number: 10

» Mathematics » Trigonometry

MCQ▾

### Question

If A is the area of a right angled triangle and b is one of the sides containing the right angle, then what is the length of the altitude on the hypotenuse?

### Choices

Choice (4) Response

a.

b.

c.

d.

## 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

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