KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 140 - 145 of 172

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Question number: 140

» Matrices and Determinants » Evaluation of Determinants

Appeared in Year: 2015

MCQ▾

Question

The remainder when the determinant,

is divided by is –

Choices

Choice (4) Response

a.

1

b.

3

c.

4

d.

2

Question number: 141

» Trigonometry » Trigonometric Identities and Equations

Appeared in Year: 2015

MCQ▾

Question

The number of real numbers for which the equality

Holds for all real which are not integral multiple of is –

Choices

Choice (4) Response

a.

Infinite

b.

3

c.

2

d.

1

Question number: 142

» Coordinate Geometry » Parabola

Appeared in Year: 2015

MCQ▾

Question

The number of ordered pairs of real numbers that satisfy the simulation equations is –

Choices

Choice (4) Response

a.

4

b.

0

c.

2

d.

1

Question number: 143

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2015

MCQ▾

Question

Suppose are positive integers such that . Then is equal to –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 144

» Integral Calculus » Fundamental Integrals Involving Functions

Appeared in Year: 2015

MCQ▾

Question

Let be a continuous function satisfying,

For all . Then –

Choices

Choice (4) Response

a.

b.

is an odd function

c.

d.

has more than 1 point in common with the axis

Question number: 145

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2015

MCQ▾

Question

Let be a polynomial such that , where is a positive integer. Then equals –

Choices

Choice (4) Response

a.

b.

c.

d.

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