Analytical Geometry of Two and Three Dimensions (NDA (National Defence Academy) Mathematics): Questions 7 - 12 of 30

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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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Question

What is the cosine of angle between the planes and

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Choice (4) Response

a.

b.

c.

d.

Question number: 9

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

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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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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?

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Choice (4) Response

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b.

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d.

Question number: 11

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

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Question

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

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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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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?

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Choice (4) Response

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b.

c.

d.

Question does not provide sufficient data or is vague

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