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1.Relation and Function
medium
ગણ $\{1,2,3\}$ પરના અરિક્ત સામ્ય સંબંધની સંખ્યા મેળવો.
A$6$
B$7$
C$5$
D$4$
(JEE MAIN-2025)
Solution
Let $R$ be the required relation
$A=\{(1,1)(2,2),(3,3)\}$
$(i) \ | R |=3$, when $R = A$
$(ii) \ | R |=5$, e.g. $R = A \cup\{(1,2),(2,1)\}$
Number of $R$ can be [3]
$(iii) \ R=\{1,2,3\} \times\{1,2,3\}$
$A=\{(1,1)(2,2),(3,3)\}$
$(i) \ | R |=3$, when $R = A$
$(ii) \ | R |=5$, e.g. $R = A \cup\{(1,2),(2,1)\}$
Number of $R$ can be [3]
$(iii) \ R=\{1,2,3\} \times\{1,2,3\}$
Standard 12
Mathematics
