Sets, Functions & Relations Part - 2

06) If A = {+ 2, + 3}, B = {1,4,9,} and F =

       {(2,4),(-2,4),(3,9),(-3,4)} then 'F' is 

       defined as :

      (a) One to one function from A into B.

      (b) One to one function from A onto B.

      (c) Many to one function from A onto B.

      (d) Many to one function from A into B.

07) In a group of 70 people, 45 speak Hindi,

      33speak English and 10 speak neither Hindi 

      or English. Find how many can speak both 

      English as well as Hindi:

     (a) 13

     (b) 19

     (c) 18

     (d) 28.

08) If f(x-1) = x^2-4x+8, then f(x+1)=--

     (a) x^2+8

     (b) x^2+7

     (c) x^2+4

     (d) x^2-4x

09) let f : R→R be such that f(x) =2'.

      then f(x+y) equals :

     (a) f(x) + f(y)

     (b) f(x) . f(y)

     (c) f(x)/f(y)

     (d) None of these

10) If f(x) = x^2 +x -1 and 4f(x) = f(2x)

      then find 'x'

     (a) 4/3

     (b) 3/2

     (c) -3/4

     (d) None of these