# NDA (National Defense Academy) Mathematics: Questions 169 - 178 of 384

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## Question number: 169

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Appeared in Year: 2012

MCQ▾

### Question

The solution of the simultaneous linear equations and will be satisfied by which one of the following linear equation?

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 170

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Appeared in Year: 2016

MCQ▾

### Question

Out of points in a plane, points are in the same straight line, triangles can be formed by joining these points. What is the value of

### Choices

Choice (4)Response

a.

5

b.

3

c.

6

d.

4

## Question number: 171

Edit
MCQ▾

### Question

What is equal to?

### Choices

Choice (4)Response

a.

1

b.

c.

d.

## Question number: 172

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MCQ▾

### Question

What is the distance between the lines and?

### Choices

Choice (4)Response

a.

units

b.

0

c.

units

d.

units

## Question number: 173

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MCQ▾

### Question

If , then what is the unit vector parallel toin the opposite direction?

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 174

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Appeared in Year: 2012

MCQ▾

### Question

Two poles are and high. The line joining their tips makes an angle of with the horizontal. What is the distance between the poles?

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 175

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MCQ▾

### Question

If and there exists point in the interval such that then what is the value of

### Choices

Choice (4)Response

a.

0

b.

3

c.

1

d.

2

## Question number: 176

Edit
MCQ▾

### Question

What is equal to?

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 177

Edit
MCQ▾

### Question

and are two matrices such that and then what is equal to :

### Choices

Choice (4)Response

a.

X

b.

Y

c.

1

d.

-1

## Question number: 178

Edit

Appeared in Year: 2012

MCQ▾

### Question

Out of first year students, passes in first semester and passed in the second semester. If did not pass in either semester, how many passed in both semesters?

### Choices

Choice (4)Response

a.

40

b.

140

c.

70

d.

30

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