Sets, Relations and Functions-Union, Intersection and Complement of Sets (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 » 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: 2

» 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)

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