Sets, Relations and Functions (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math): Questions 1 - 4 of 13

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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 » Union, Intersection and Complement of Sets

Appeared in Year: 2010

MCQ▾

Question

Consider the region A={(x,y) x2+y2100} and B={(x,y) sin(x+y)>0} in the plane. Then the area of the region AB is

Choices

Choice (4) Response
a.

100

b.

100π

c.

50π

d.

10 π

Question number: 3

» Sets, Relations and Functions » Union, Intersection and Complement of Sets

Appeared in Year: 2011

MCQ▾

Question

Let X be a nonempty set and let P (X) denote the collection of all subsets of X. Define

f:X×P(X)Rby,

f(x,A)={1,xA0,xA

Then f(x,AB) equal to –

Choices

Choice (4) Response
a.

f(x,A)+f(x,B)

b.

f(x,A)+f(x,B)1

c.

f(x,A)+f(x,B)f(x,A)f(x,B)

d.

f(x,A)+ f(x,A)f(x,B)

Question number: 4

» Sets, Relations and Functions » Equivalence Relations

Appeared in Year: 2012

MCQ▾

Question

Let n be a natural number and let ‘a’ be a real number. The number of zeros of x2n+1)earealnumber.Thenumberofzerosofn,thereforewecanwrite,urves(2n+1)x+a=0 in the interval [-1, 1] is

Choices

Choice (4) Response
a.

2 if a < 0

b.

At least three for every value of a

c.

2 if a > 0

d.

At most one for every value of a

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