# NDA (National Defence Academy) Mathematics: Questions 8 - 13 of 384

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## Question number: 8

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Appeared in Year: 2012

MCQ▾

### Question

What is the sum of the squares of direction cosines of the line joining the points ?

### Choices

Choice (4) Response

a.

1

b.

c.

3

d.

0

## Question number: 9

» Algebra » Complex Numbers » Cube Roots of Unity

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Appeared in Year: 2016

MCQ▾

### Question

What is equal to, where is the cube root of unity?

### Choices

Choice (4) Response

a.

b.

c.

0

d.

1

## Question number: 10

Edit
MCQ▾

### Question

If A = {4,6, 7,8, 9}, B = {2,4, 6} and C = {1,2, 3,4, 5,6}, then find

A U (B ∩ C)

### Choices

Choice (4) Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

## Question number: 11

Edit
MCQ▾

### Question

What is equal to? Where,

### Choices

Choice (4) Response

a.

b.

1

c.

2

d.

## Question number: 12

Edit
MCQ▾

Let, , and .

Find .

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 13

Edit
MCQ▾

### Question

From the top of a building of height meter, the angle of depression of an object on the ground is . What is the distance (in meter) of the object from the foot of the building?

### Choices

Choice (4) Response

a.

0

b.

30

c.

45

d.

15