NDA (National Defence Academy) Mathematics: Questions 173 - 179 of 384

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Question number: 173

» Vector Algebra » Scalar Product or Dot Product of Two-Vectors

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MCQ▾

Question

If , then what is the unit vector parallel to in the opposite direction?

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 174

» Analytical Geometry of Two and Three Dimensions » Distance of a Point from a Line

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Appeared in Year: 2012

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: 175

» Differential Calculus » Continuity of Functions

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MCQ▾

Question

If and there exists point in the interval such that then what is the value of

Choices

Choice (4) Response

a.

0

b.

3

c.

1

d.

2

Question number: 176

» Differential Calculus » Algebraic Operations on Continuous Functions

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MCQ▾

Question

What is equal to?

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 177

» Algebra » Operations on Sets

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MCQ▾

Question

and are two matrices such that and then what is equal to :

Choices

Choice (4) Response

a.

X

b.

Y

c.

1

d.

-1

Question number: 178

» Statistics and Probability » Union and Intersection of Events

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Appeared in Year: 2012

MCQ▾

Question

Out of first year students, passes in first semester and passed in the second semester. If did not pass in either semester, how many passed in both semesters?

Choices

Choice (4) Response

a.

40

b.

140

c.

70

d.

30

Question number: 179

» Differential Calculus » Derivative of a Function at a Point

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Appeared in Year: 2012

MCQ▾

Question

What is equal to?

Choices

Choice (4) Response

a.

b.

c.

d.