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1. relation and function — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths1. relation and function1 Mark
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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