NDA (National Defense Academy) Mathematics: Questions 72 - 82 of 384

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Question number: 72

» 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: 73

» Algebra » Complex Numbers » Modulus

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MCQ▾

Question

If , then what is the imaginary part of equal to?

Choices

Choice (4)Response

a.

1

b.

0

c.

d.

Question number: 74

» Matrices and Determinants » Adjoint and Inverse of a Square Matrix

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Appeared in Year: 2012

MCQ▾

Question

If and then what isequal to?

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 75

» 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: 76

» Trigonometry » Trigonometric Identities Sum and Difference Formulae

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MCQ▾

Question

What is equal to? Where,

Choices

Choice (4)Response

a.

1

b.

1.73

c.

2.32

d.

1.74

Question number: 77

» Differential Calculus » Derivatives of Sum

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MCQ▾

Question

If then what is equal to?

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 78

» Differential Calculus » Derivatives of Sum

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MCQ▾

Question

and then what isequal to

Choices

Choice (4)Response

a.

b.

c.

1/y

d.

Question number: 79

» Trigonometry » Trigonometric Identities Sum and Difference Formulae

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Appeared in Year: 2012

MCQ▾

Question

What is the value of ?

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 80

» Statistics and Probability » Elementary and Composite Events

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Appeared in Year: 2012

MCQ▾

Question

If four dice are thrown together, then what is the probability that the sum of the number appearing one them is 25?

Choices

Choice (4)Response

a.

1

b.

1/2

c.

1/1296

d.

0

Question number: 81

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

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Appeared in Year: 2012

MCQ▾

Question

If then what is the value of ?

Choices

Choice (4)Response

a.

2

b.

0

c.

1

d.

Question number: 82

» Algebra » Conversion from Decimal System to Binary System

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MCQ▾

Question

What is the decimal number representation of the binary number ?

Choices

Choice (4)Response

a.

25.025

b.

13.625

c.

d.

212.125

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