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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