Sets, Relations and Functions-Types of Relations (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math): Questions 1 - 2 of 2

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Question number: 1

» Sets, Relations and Functions » Types of Relations

Appeared in Year: 2011

MCQ▾

Question

Which of the following interval is possible domain of the function f(x)=log{x}[x]+log[x]{x} , where [x] is the greatest integer not exceeding x and {x}=x[x] ?

Choices

Choice (4) Response
a.

(0, 1)

b.

(1, 2)

c.

(2, 3)

d.

(3, 5)

Question number: 2

» Sets, Relations and Functions » Types of Relations

Appeared in Year: 2012

MCQ▾

Question

Let S={1,2,3,,n} and A={(a,b) 1a,bn}=S×S . A subset B of A is said to be a good subset if (x,x)B for every xS . Then the number of good subsets of A is –

Choices

Choice (4) Response
a.

2n2

b.

22n

c.

1

d.

2n1

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