KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math: Questions 60 - 63 of 155

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Question number: 60

» Integral Calculus » Integral as Limit of a Sum

Appeared in Year: 2012

MCQ▾

Question

Consider,

L=20123+20133++30113

R=20133+20143++30123

andI=20123012x3dxThen

Choices

Choice (4) Response
a.

L+R<2I

b.

L+R>2I

c.

L+R=2I

d.

LR=I

Question number: 61

» Trigonometry » Trigonometric Functions

Appeared in Year: 2012

MCQ▾

Question

The sum of all x[0,π] which satisfy the equation sinx+12cosx=sin2(x+π4) is –

Choices

Choice (4) Response
a.

π6

b.

π

c.

2π

d.

5π6

Question number: 62

» Limits & Continuity » Limits

Appeared in Year: 2013

MCQ▾

Question

Let f:RR be a function such that limxf(x)=M>0 Then which of the following is false?

Choices

Choice (4) Response
a.

limxxsin(1x)f(x)=M

b.

limxsin(f(x))=sinM

c.

limxxsin(ex)f(x)=M

d.

limxsinxxf(x)=0

Question number: 63

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2014

MCQ▾

Question

Consider the function f(x)={ . Then f(f(x)) is discontinuous –

Choices

Choice (4) Response
a.

At exactly one value of x

b.

At exactly three value of x

c.

At all real numbers

d.

At exactly two value of x

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