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Relation — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSRelation3 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? $(\text{a, b})\in\text{R and (b, c)}\in\text{R}\Rightarrow \text{(a, c)}\in\text{R}$
✓

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 $(36,6)\notin\text{R and (25, 5)}\in\text{R}\text{ but }(36,5)\notin\text{R}$

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