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Let R denotes the set of all real numbers and $R^{+}$ denote the set of all positive real numbers. For the subsets $A$ and $B$ of R define $f:A \to B$ by $f(x)=x^2$ for $x \in A$. Observe the two lists given below:

List I List II

(i) f is one-one and onto if

(ii) f is one-one but not onto if 

(iii) f is onto but not one-one if

(iv) f is neither one-one nor onto if 

(a) $A=R^{+}, B=R$

(b) $A=B=R$

(c) $A=R,B=R^{+}$

(d) $A=B=R^{=}$

The correct matching of list I to List II is

      (i)    (ii)    (iii)   (iv)

(1)  (a)  (b)   (c)    (d)

(2)  (d)  (b)   (a)    (c)

(3)  (d)  (a)   (c)    (b)

(4)   (d) (b)   (c)    (a)

Can you answer this question?

1 Answer

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answered Nov 7, 2013 by pady_1

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