KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 142 - 146 of 172

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Question number: 142

» Coordinate Geometry » Parabola

Appeared in Year: 2015

MCQ▾

Question

The number of ordered pairs Equation of real numbers that satisfy the simulation equations Equation 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 Equation are positive integers such that Equation . Then Equation is equal to –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 144

» Integral Calculus » Fundamental Integrals Involving Functions

Appeared in Year: 2015

MCQ▾

Question

Let Equation be a continuous function satisfying,

Equation

For all Equation . Then –

Choices

Choice (4) Response

a.

Equation

b.

Equation is an odd function

c.

Equation

d.

Equation has more than 1 point in common with the Equation axis

Question number: 145

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2015

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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.

Equation

b.

Equation

c.

Equation

d.

2

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