Sets, Relations and Functions-Types of Relations (KVPY Stream-SA (Class 11) Math): Questions 1 - 2 of 2

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Question number: 1

» 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: 2

» Sets, Relations and Functions » Types of Relations

MCQ▾

Question

Which of the following statements are true –

(i) If A={x:x2=9,xN},B={2}, then AB.

(ii) If A={2, 4,6, 8,8},B={6, 4,2, 8}, then A=B.

(iii) If A={x:x25x+11=0,xR},B=ϕ, then A=B.

(iv) If A={x: x <2,xZ},B={1, 1}, then A=B.

Select the correct option from given above:

Choices

Choice (4) Response

a.

(i) & (ii) are correct

b.

(i), (ii) & (iii) are correct

c.

(ii) & (iii) are correct

d.

(i) & (iv) are correct

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