KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 54 - 59 of 172

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Question number: 54

Appeared in Year: 2013

MCQ▾

Question

Consider a triangle ABC in the XY – plane with vertices A = (0, 0), B = (1, 1) and C = (9, 1). If the line x = a divides the triangle into two parts of equal area, then a equals –

Choices

Choice (4) Response

a.

3

b.

4.5

c.

3.5

d.

4

Question number: 55

Appeared in Year: 2014

MCQ▾

Question

The number of solutions to the equations in the interval [0, 2π] is –

Choices

Choice (4) Response

a.

2

b.

6

c.

0

d.

4

Question number: 56

Appeared in Year: 2012

MCQ▾

The value is –

Choices

Choice (4) Response

a.

b.

c.

d.

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 where a, b, c ∈ {+1, -1} is –

Choices

Choice (4) Response

a.

b.

2

c.

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 and . Then angle γ equals –

Choices

Choice (4) Response

a.

600

b.

1200

c.

1500

d.

300

Question number: 59

Appeared in Year: 2012

MCQ▾

Question

Define a sequence by for . Then

Choices

Choice (4) Response

a.

Equals

b.

Equals

c.

Equals 1

d.

None of the above

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