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Relations — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsRelations3 Marks
Question
Let R be a relation from N to N defined by $\text{R}=\{(\text{a, b}):\text{a, b}\in\text{N and a}=\text{b}^2\}.$ Are the following statement true?
$(\text{a, b})\in\text{R }\Rightarrow \text{(b, a)}\in\text{R}$
✓

Answer

We have,
$\text{R}=\{(\text{a, b}):\text{a, b}\in\text{N and a}=\text{b}^2\}$
This statement is not true because $(25,5)\notin\text{R}\text{ but }(5,25)\notin\text{R}$

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