JEE Mains · Maths · STD 12 - 1. relation and function
Let R be a relation defined on the set \( \{1,2,3,4\}\times\{1,2,3,4\} \) by \( R=\{((a,b),(c,d)):2a+3b=3c+4d\} \).
Then the number of elements in R is
- A 6
- B 18
- C 12
- D 15
Answer & Solution
Correct Answer
(C) 12
Step-by-step Solution
Detailed explanation
\((a, b)\)\(\qquad\qquad\)\(( c , d )\) \((1,1)\)\(\qquad\qquad\)x \((1,2)\)\(\qquad\qquad\)x \((1,3)\)\(\qquad\qquad\)\((1,2)\) \((1,4)\)\(\qquad\qquad\)\((2,2)\) \((2,1)\)\(\qquad\qquad\)\((1,1)\) \((2,2)\)\(\qquad\qquad\)\((2,1)\) \((2,3)\)\(\qquad\qquad\)\((3,1)\)…
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