# Analytical Geometry of Two and Three Dimensions [NDA (National Defense Academy) Mathematics]: Questions 9 - 14 of 30

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## Question number: 9

» Analytical Geometry of Two and Three Dimensions » Angle between Two Lines

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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.

4

b.

3

c.

6

d.

5

## Question number: 10

» Analytical Geometry of Two and Three Dimensions » Distance of a Point from a Line

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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: 11

» Analytical Geometry of Two and Three Dimensions » Equation of a Line in Various Forms

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MCQ▾

### Question

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

### Choices

Choice (4)Response

a.

b.

1

c.

0

d.

## Question number: 12

» Analytical Geometry of Two and Three Dimensions » Distance of a Point from a Line

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MCQ▾

### Question

The angle of elevation of a tower at a level ground is . The angle of elevation becomes . when moved towards the tower. If the height of tower is , then what is equal to?

### Choices

Choice (4)Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

## Question number: 13

» Analytical Geometry of Two and Three Dimensions » Rectangular Cartesian Coordinate System

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MCQ▾

### Question

What is perimeter of the triangle with vertices and ?

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 14

» Analytical Geometry of Two and Three Dimensions » Distance of a Point from a Line

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Appeared in Year: 2012

MCQ▾

### Question

The angle of elevation of a tower at a level ground is . The angle of elevation becomes . when moved towards the tower. If the height of tower is , the what is equal to?

### Choices

Choice (4)Response

a.

b.

c.

d.

All of the above

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