KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 66 - 70 of 172

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Question number: 66

» Basic Mathematics » Geometry » Circle and Properties

Appeared in Year: 2012

MCQ▾

Question

Suppose two perpendicular tangents can be drawn from the origin to the circle Equation for some real p. Then Equation is equal to –

Choices

Choice (4) Response

a.

17

b.

5

c.

3

d.

0

Question number: 67

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2012

MCQ▾

Question

The mid-point of the domain of the function Equation for real x is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 68

» Statistics and Probability » Probability of an Event

Appeared in Year: 2012

MCQ▾

Question

A purse contains 4 copper coins and 3 silver coins. A second purse contains 6 copper coins and 4 silver coins. A purse is chosen randomly and a coin is taken out of it. What is the probability that is a copper coin –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 69

» Sets, Relations and Functions » Types of Relations

Appeared in Year: 2012

MCQ▾

Question

Let Equation and Equation . A subset B of A is said to be a good subset if Equation for every Equation . Then the number of good subsets of A is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

1

d.

Equation

Question number: 70

» Integral Calculus » Evaluation of Simple Integrals

Appeared in Year: 2012

MCQ▾

Question

The value Equation is

Choices

Choice (4) Response

a.

4024

b.

0

c.

2012

d.

2013

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