# Analytical Geometry of Two and Three Dimensions (NDA (National Defense Academy) Mathematics): Questions 1 - 8 of 30

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## Question number: 1

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

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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: 2

» 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.

All of the above

## Question number: 3

» Analytical Geometry of Two and Three Dimensions » Distance Formula

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MCQ▾

### Question

If the mid-point between the points and lies on the line what is k equal to?

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 4

» 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: 5

» Analytical Geometry of Two and Three Dimensions » Distance Formula

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MCQ▾

### Question

If the mid-point between the points and lies on the line what is k equal to?

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 6

» Analytical Geometry of Two and Three Dimensions » Equation of a Sphere

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MCQ▾

### Question

What is the diameter of the sphere

### Choices

Choice (4)Response

a.

10 units

b.

12 units

c.

15 units

d.

7 units

## Question number: 7

» 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: 8

» Analytical Geometry of Two and Three Dimensions » Direction Cosines and Direction Ratios

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MCQ▾

### Question

What is the cosine of angle between the planes and

### Choices

Choice (4)Response

a.

b.

c.

d.

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