Sets, Relations and Functions-Equivalence Relations (KVPY Stream-SA (Class 11) Math): Questions 1 - 5 of 5

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Question number: 1

» Sets, Relations and Functions » Equivalence Relations

Appeared in Year: 2011

MCQ▾

Question

Below are four equations in x. Assume that 0 < r < 4. Which of the following has the largest solution for x?

Choices

Choice (4) Response

a.

5(1+rπ)x=9

b.

5(1+r17)x=9

c.

5(1+2r)x=9

d.

5(1+1r)x=9

Question number: 2

» Sets, Relations and Functions » Equivalence Relations

MCQ▾

Question

Below are four equations in x. Assume that 0 < r < 4. Which of the following has the largest solution for x?

Choices

Choice (4) Response

a.

3(rπ)x=11

b.

3(r15)x=11

c.

3(2r)x=11

d.

3(1r)x=11

Question number: 3

» Sets, Relations and Functions » Equivalence Relations

Appeared in Year: 2014

MCQ▾

Question

Let a, b, c be non-zero real numbers such that a + b + c = 0; let q=a2+b2+c2 and r=a4+b4+c4 Then.

Choices

Choice (4) Response

a.

q2<2r always

b.

q2=2r always

c.

q22r can take both positive and negative value

d.

q2>2r always

Question number: 4

» Sets, Relations and Functions » Equivalence Relations

MCQ▾

Question

If p, q are real numbers such that 5pq+15pq1=120 , then the value of p+qpq is,

Choices

Choice (4) Response

a.

2

b.

1

c.

0

d.

3

Question number: 5

» Sets, Relations and Functions » Equivalence Relations

Appeared in Year: 2010

MCQ▾

Question

22. If x, y are real numbers such that 3xy+13xy1=24 , then the value of x+yxy is

Choices

Choice (4) Response

a.

3

b.

2

c.

0

d.

1

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