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Relations and Functions — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsRelations and Functions1 Mark
MCQ
A constant function $f : A \rightarrow B$ will be one$-$one if:
  • A
    $n(A) = n(B)$
  • ✓
    $n(A) = 1$
  • C
    $n(B) = 1$
  • D
    $n(A) < n(B)$
✓

Answer

Correct option: B.
$n(A) = 1$
Given $f$ is a constant functions.
$\Rightarrow$ range of $f$ is ${c}($say$)$
Since $f$ is one$-$one
$\Rightarrow$ domain of $A$ should also contain
one element.
$\therefore\text{n(A)}=1$

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