KVPY Stream-SA (Class 11) Math: Questions 89 - 93 of 251

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Question number: 89

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2009

MCQ▾

Question

How many positive real numbers x satisfy the equation,

x33 x +2=0

Choices

Choice (4) Response

a.

1

b.

4

c.

6

d.

3

Question number: 90

» Sets, Relations and Functions » Types of Relations

Appeared in Year: 2012

MCQ▾

Question

Let a, b, c be positive integers such that a2+bb2+c is a rational number, then which of the following is always an integer?

Choices

Choice (4) Response

a.

2a2+b22b2+c2

b.

a2+2b2b2+2c2

c.

a2+b2c2a+bc

d.

a2+b2+c2a+cb

Question number: 91

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2010

MCQ▾

Question

A cow is tied to a corner (vertex) of a regular hexagonal fenced area of side a meter by a rope of length 5a2 meter in a grass field. (The cow cannot graze inside the fenced area. ) What is the maximum possible area of the grass field to which the cow has access to graze?

Choices

Choice (4) Response

a.

52πa2

b.

6πa2

c.

3πa2

d.

5πa2

Question number: 92

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2013

MCQ▾

Question

In a rectangle ABCD, points X and Y are the midpoints of AD and DC, respectively. Lines BX and CD when extended intersect at E, lines BY and AD when extended intersect at F. If the area of ABCD is 60 then the area of BEF is.

Choices

Choice (4) Response

a.

90

b.

80

c.

60

d.

120

Question number: 93

» Complex Numbers and Quadratic Equations » Relation Between Roots and Coefficients

Appeared in Year: 2014

MCQ▾

Question

Let r be a root of the equation x2+2x+6=0 . The value of (r+2)(r+3)(r+4)(r+5) is equal to

Choices

Choice (4) Response

a.

126

b.

-51

c.

-126

d.

51

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