Let A and B be non empty sets in R and f : A B is a bijective fun… - Vidyadip

MCQ

Let $A$ and $B$ be non empty sets in $R$ and $f : A \to B$ is a bijective function.
Statement $1$ : $f$ is an onto function .
Statement $2$ : There exists a function $g : B \to A$ such that $fog = I_B$

A
Statement $1$ is true, Statement $2$ is false.
B
Statement $1$ is true. Statement $2$ is true;Statement $2$ is a correct explanation for Statement $1$ .
C
Statement $1$ is false. Statement $2$ is true.
✓
Statement $1$ is true. Statement $2$ is true,Statement $2$ is not the correct explanation for Statement $1$

✓

Answer

Correct option: D.

Statement $1$ is true. Statement $2$ is true,Statement $2$ is not the correct explanation for Statement $1$

d
Let $A$ and $B$ be non-empty sets in $R$. Let $f : A \to B$ is bijective function. Clearly statement $-1$ is true which says that $f$ is an onto function. Statement $- 2$ is also true statement but it is not the correct explanation for statement $-1$

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