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Let A={p , q , r , s}\ a n d\ B={1,2,3}d...

Let `A={p , q , r , s}\ a n d\ B={1,2,3}dot` Which of the following relations from A to B is not function? `R_1={(p ,1),\ (q ,2),\ (r ,1),\ (s ,2)}dot`

A

`R_(1) = {(p, 1), (q, 2), (r, 1), (s, 2)}`

B

`R_(2) = {(p, 1), (q, 2), (r, 1), (s, 1)}`

C

`R_(3) = {(p, 1), (q, 2), (r, 2), (r, 2)}`

D

`R_(4) = {(p, 2), (q, 3), (r, 2), (s, 2)}`

Text Solution

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The correct Answer is:
C
`because` x - coordinates of two brackets are same.
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ARIHANT MATHS ENGLISH-SETS, RELATIONS AND FUNCTIONS -Exercise (Single Option Correct Type Questions)
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  15. If the sets A and B are defined are defined as A={(x,y):y=e^x, x in R}...

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  16. If function f:AtoB is a bijective , then f^(-1) of is

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  19. Let R and S be two non-void relations on a set A. Which of the followi...

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