KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math: Questions 145 - 148 of 155

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Question number: 145

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2015

MCQ▾

Question

Let P(x) be a polynomial such that p(x)p(x)=xn , where n is a positive integer. Then p(0) equals –

Choices

Choice (4) Response
a.

1(n1)!

b.

1n!

c.

n!

d.

(n1)!

Question number: 146

» Basic Mathematics » Geometry » Circle and Properties

Appeared in Year: 2015

MCQ▾

Question

Among all sectors of a fixed perimeter, choose the one with maximum area. Then the angle at the centre of this sector (i. e. , the angle between the bounding radii) is –

Choices

Choice (4) Response
a.

π3

b.

3

c.

32

d.

2

Question number: 147

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2015

MCQ▾

Question

A mirror in the first quadrant is in the shape of a hyperbola whose equation is xy=1 . A light source in the second quadrant emits a beam of light that hits the mirror at the points (2,12) . If the reflected ray is parallel to the y axis, the slope of the incident beam is –

Choices

Choice (4) Response
a.

158

b.

138

c.

2

d.

74

Question number: 148

» Trigonometry » Trigonometric Functions

Appeared in Year: 2015

MCQ▾

Question

Let,

C(θ)=n=0cos(nθ)n!

Which of the following statement is FALSE?

Choices

Choice (4) Response
a.

C(0)+C(π)>2

b.

C(θ)0forallθR

c.

C(0)C(π)=1

d.

C(θ)>0forallθR

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