KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 55 - 59 of 172

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Question number: 55

» Trigonometry » Trigonometric Identities and Equations

Appeared in Year: 2014

MCQ▾

Question

The number of solutions to the equations cos4x+1cos2x=sin4x+1sin2x in the interval [0, 2π] is –

Choices

Choice (4) Response

a.

2

b.

6

c.

0

d.

4

Question number: 56

» Integral Calculus » Integration Using Trigonometric Identities

Appeared in Year: 2012

MCQ▾

Question

The value 0π2(sinx)2+1dx0π2(sinx)21dx is –

Choices

Choice (4) Response

a.

212+1

b.

2+12

c.

22

d.

2+121

Question number: 57

» Basic Mathematics » Algebra » Simplifying Expressions

Appeared in Year: 2013

MCQ▾

Question

Let ω be a cube root of unity not equal to 1. Then the maximum possible value of a+bω+cω2 where a, b, c ∈ {+1, -1} is –

Choices

Choice (4) Response

a.

1+3

b.

2

c.

3

d.

0

Question number: 58

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2013

MCQ▾

Question

The angle α, β, γ of a triangle satisfy the equation 2sinα+3cosβ=32 and 3sinβ+2cosα=1 . Then angle γ equals –

Choices

Choice (4) Response

a.

600

b.

1200

c.

1500

d.

300

Question number: 59

» Sequence and Series » Arithmetic Series

Appeared in Year: 2012

MCQ▾

Question

Define a sequence (an) by a1=5,an=a1a2an1+4 for n>1 . Then

limnanan1=?

Choices

Choice (4) Response

a.

Equals 12

b.

Equals 25

c.

Equals 1

d.

None of the above

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