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Sets and Relations question

2024 · 9 Apr · Shift 1 · Q51
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  5. /2024 · 9 Apr · Shift 1 · Q51

Sets and Relations question

2024 · 9 Apr · Shift 1 · Q51

JEE MainMathematicsSets and RelationsNumerical+4 / −1
Let A={2,3,6,7}A=\{2,3,6,7\}A={2,3,6,7} and B={4,5,6,8}B=\{4,5,6,8\}B={4,5,6,8}. Let RRR be a relation defined on A×BA \times BA×B by (a1,b1)R(a2,b2)(a_1, b_1) R(a_2, b_2)(a1​,b1​)R(a2​,b2​) if and only if a1+a2=b1+b2a_1+a_2=b_1+b_2a1​+a2​=b1​+b2​. Then the number of elements in RRR is ‾\underline{\hspace{2cm}}​.
Numerical answer
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