NEST (National Entrance Screening Test) Mathematics: Questions 34 - 40 of 50

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Question number: 34

» Limits & Continuity » Algebra of Functions

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MCQ▾

Question

If , then is

Choices

Choice (4) Response

a.

1

b.

3

c.

0

d.

Question number: 35

» Binomial Theorem » Binomial Coefficents

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Appeared in Year: 2016

MCQ▾

Question

The number of terms that are integers in the binomial expansion of is

Choices

Choice (4) Response

a.

5

b.

6

c.

4

d.

7

Question number: 36

» Coordinate Geometry » Distance of a Point from a Line

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MCQ▾

Question

The distance of the plane from the origin is

Choices

Choice (4) Response

a.

b.

c.

d.

None of the above

Question number: 37

» Limits & Continuity » Algebra of Functions

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Appeared in Year: 2017

MCQ▾

Question

Let be a function defined as

then is

Choices

Choice (4) Response

a.

Discontinuous at only

b.

Continuous at all real number

c.

Discontinuous at only

d.

Continuous at all points in the domain

Question number: 38

» Limits & Continuity » Real Valued Functions

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MCQ▾

Question

If

Choices

Choice (4) Response

a.

is discontinuous at

b.

is continuous at

c.

d.

Question does not provide sufficient data or is vague

Question number: 39

» Binomial Theorem » Binomial Coefficents

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MCQ▾

Question

In the expansion of the sum of 5th and the 6th term is zero, than is equal to

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 40

» Limits & Continuity » Continuity

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MCQ▾

Question

Let be any function. Define by for all . Then is

Choices

Choice (4) Response

a.

Onto is f is onto

b.

One-one is f is one-one

c.

Continuous is f is continuous

d.

Differentiable is f is differentiable