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Home  >>  CBSE XII  >>  Math  >>  Relations and Functions
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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:

\[\; (2,4) \in R\qquad  \;(3,8)\in R\qquad \;(6,8) \in R\qquad  \;(8,7) \in R\qquad\]  
Can you answer this question?
 
 

1 Answer

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Given the relation $R=\{(a,b):a=b-2, \; b>6 \}$ in a set N, we can arrive at the right option by substituting them in the relation to see which one holds true:
$(2,4) \in R \Rightarrow 2 = 4-2 = 2$, which is ok, but since $b>6$, this cannot be the right answer.
$(3,8) \in R \Rightarrow a = 3$ and $b-2 =8 -2 = 6$, which are not equal. So this is not the right answer either.
$(6,8) \in R \Rightarrow a = 6$ and $b-2=8 -2 =6$, which are equal. Also since $b=8 \gt 6$, this is the right answer.
$(8,7) \in R \Rightarrow a = 8$ and $b-2 =7 -2 = 5$, which are not equal. So this is not the right answer either.
answered Feb 22, 2013 by meena.p
edited Mar 8, 2013 by balaji.thirumalai
 

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