Let R be relation in set N given by R ={(a,, b),:, a=b-2,, b>6} . Choose correct answer.

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1.Relation and Function

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Let $R$ be the relation in the set $N$ given by $R =\{(a,\, b)\,:\, a=b-2,\, b>6\} .$ Choose the correct answer.

A

$(2,4) \in R$

B

$(3,8) \in R$

C

$(6,8)\in R$

D

$(8,7) \in R$

Solution

$R =\{( a ,\, b )\,: \,a = b -2,\, b >6\}$

Now,

since $b>6,(2,\,4) \notin R$

Also, as $3 \neq 8-2$

$\therefore (3,\,8) \notin R$ And, as $8 \neq 7-2$

$\therefore (8,\,7) \notin R$

Now, consider $(6,8)$

We have $8>6$ and also, $6=8-2$

$\therefore $ $(6,\,8) \in R$

The correct answer is $C$.

Standard 12

Mathematics

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