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Relations and Functions — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsRelations and Functions1 Mark
MCQ
A relation $R$ is defined on $N$. Which of the following is the reflexive relation?
  • A
    $R=\{(x, y): x>y, x, y \in N\}$
  • B
    $R=\{(x, y): x+y=10, x, y \in N\}$
  • C
    $R=\{(x, y): x y$ is the square number, $x, y \in N\}$
  • D
    $R=\{(x, y): x+4 y=10, x, y \in N\}$
✓

Answer

Consider, $R=\{(x, y)$ : xy is the square number, $x, y \in N\}$
As, $x x=x^2$, which is the square of natural number $x$.
$\Rightarrow \quad(x, x) \in R$. So, $R$ is reflexive.

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