NEST (National Entrance Screening Test) Mathematics: Questions 8 - 14 of 50

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Question number: 8

» Limits & Continuity » Continuity

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MCQ▾

Question

Let . if be continuous for all then is equal to

Choices

Choice (4) Response

a.

7

b.

c.

d.

None of the above

Question number: 9

» Basic Mathematics » Algebra » Solving Equations

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Appeared in Year: 2016

MCQ▾

Question

Let positive real numbers be such that . The maximum value of is

Choices

Choice (4) Response

a.

128

b.

432

c.

216

d.

4

Question number: 10

» Differential Calculus » Geometric Interpretation of Derivative » Tangents

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MCQ▾

Question

The slope of tangent to the curve at the point is

Choices

Choice (4) Response

a.

b.

c.

d.

None of the above

Question number: 11

» Trigonometry » Trigonometric Functions

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MCQ▾

Question

Let Then

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 12

» Limits & Continuity » Algebra of Functions

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MCQ▾

Question

If then

Choices

Choice (4) Response

a.

b.

c.

d.

None of the above

Question number: 13

» Differential Calculus » Increasing and Decreasing Functions

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MCQ▾

Question

Let , where p is a constant then, is

Choices

Choice (4) Response

a.

b.

c.

d.

Independent of

Question number: 14

» Limits & Continuity » Continuity

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MCQ▾

Question

is equal to , where

Choices

Choice (4) Response

a.

b.

c.

d.