class 12 maths relations and functions

Let us define a relation $R$ in $R$ as $aRb$ if $a \ge b$. Then, $R$ is

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📘 Relations and Functions NCERT Exemp.Q.32,Page 14 MCQ 1 mark

Let us define a relation $R$ in $R$ as $aRb$ if $a \ge b$. Then, $R$ is

Official Solution

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It is given that,, $aRb$ if $a \ge b$

$\Rightarrow$ $aRa \Rightarrow a \ge a$ which is true.

Let $aRb,$ $a \ge b$, then $b \ge a$ which is not true $R$ is not symmetric.

But $aRb$ and $bRc$

$\Rightarrow$ $a \ge b$ and $b \ge c$

$\Rightarrow$ $a \ge c$

Hence we can say that $R$ is transitive.

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