# Mathematics-Trigonometry (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 5 - 9 of 51

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## Question number: 5

» 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.

b.

c.

d.

## Question number: 6

» 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: 7

» Mathematics » Trigonometry

MCQ▾

### Question

If , then the value of is

### Choices

Choice (4) Response

a.

-1

b.

1

c.

2

d.

-2

## Question number: 8

» Mathematics » Trigonometry

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

b.

c.

d.

None of the above

## Question number: 9

» 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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