class 12 maths relations and functions

Let the relation $R$ be defined in $N$ by $aRb$, if $2a + 3b = 30$. Then, $R =$…………………..

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📘 Relations and Functions NCERT Exemp.Q.48,Page 16 FillBlank

Let the relation $R$ be defined in $N$ by $aRb$, if $2a + 3b = 30$. Then, $R =$…………………..

Official Solution

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It is given that,, $2a + 3b = 30$

$3b = 30 - 2a$

$b = \frac{{30 - 2a}}{3}$

For $a = 3,b = 8$

$a = 6,b = 6$

$a = 9,b = 4$

$a = 12,b = 2$

$R = \{ (3,8),(6,6),(9,4),(12,2)\}$

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