A) Bijective
B) Surjective but not Injective
C) Injective but Surjective
D) Neither Surjective nor Injective.
Correct Answer: A
Solution :
\[A=\left\{ 1,\,\,2,\,\,3,\,\,... \right\}\] |
\[B=\left\{ 1,\,\,4,\,\,9,\,\,... \right\}\] |
\[x=1,\,\,y=1\] |
\[x=2,\,\,y=4\] |
\[x=3,\,\,y=9\] |
.. |
.. |
.. |
So on |
\[\therefore \,f\left( x \right)\] is one - one onto |
\[\Rightarrow \,\,\,f\left( x \right)\] is Bijective function. |
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