JEE Mains · Maths · STD 12 - 1. relation and function
Among the relations \(S =\left\{( a , b ): a , b \in R -\{0\}, 2+\frac{ a }{ b } > 0\right\}\) And \(T =\left\{( a , b ): a , b \in R , a ^2- b ^2 \in Z \right\}\),
- A \(S\) is transitive but \(T\) is not
- B \(T\) is symmetric but \(S\) is not
- C Neither \(S\) nor \(T\) is transitive
- D Both \(S\) and \(T\) are symmetric
Answer & Solution
Correct Answer
(B) \(T\) is symmetric but \(S\) is not
Step-by-step Solution
Detailed explanation
For relation \(T=a^2-b^2=-I\) Then,\((b, a)\) on relation \(R\) \(\Rightarrow b ^2- a ^2=- I\) \(\therefore T \text { is symmetric }\) \(S =\left\{( a , b ): a , b \in R -\{0\}, 2+\frac{ a }{ b } > 0\right\}\)…
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