NDA (National Defense Academy) Mathematics: Questions 11 - 20 of 384

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Question number: 11

» Trigonometry » Trigonometric Identities Sum and Difference Formulae

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MCQ▾

Question

What is equal to? Where,

Choices

Choice (4)Response

a.

b.

1

c.

2

d.

Question number: 12

» Algebra » Operations on Sets

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MCQ▾

Question

Let, , and .

Find .

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Choice (4)Response

a.

b.

c.

d.

Question number: 13

» Trigonometry » Angles and Their Measures in Degrees and in Radians

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MCQ▾

Question

From the top of a building of height meter, the angle of depression of an object on the ground is . What is the distance (in meter) of the object from the foot of the building?

Choices

Choice (4)Response

a.

0

b.

30

c.

45

d.

15

Question number: 14

» Algebra » Relation

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MCQ▾

Question

Let be a relation from

What is equal to?

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Choice (4)Response

a.

b.

c.

d.

Question number: 15

» Algebra » Complex Numbers » Cube Roots of Unity

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MCQ▾

Question

What is equal to, where is the cube root of unity?

Choices

Choice (4)Response

a.

b.

c.

1

d.

0

Question number: 16

» 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: 17

» 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?

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Choice (4)Response

a.

b.

c.

d.

Question number: 18

» Matrices and Determinants » Operations on Matrices Determinant of a Matrix,

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MCQ▾

Question

What is equal to?

Choices

Choice (4)Response

a.

b.

c.

15xyz

d.

Question number: 19

» Algebra » Arithmetic Progression

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Appeared in Year: 2016

MCQ▾

Question

The sixth term of an is and it’s common difference is greater than What is the first term of the so that the product of the fourth and fifth terms is greatest?

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Choice (4)Response

a.

b.

c.

d.

Question number: 20

» 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.

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