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Sets and Relations question

2023 · 6 Apr · Shift 1 · Q40
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  5. /2023 · 6 Apr · Shift 1 · Q40

Sets and Relations question

2023 · 6 Apr · Shift 1 · Q40

JEE MainMathematicsSets and RelationsNumerical+4 / −1
Let A={1,2,3,4,….,10}\mathrm{A}=\{1,2,3,4, \ldots ., 10\}A={1,2,3,4,….,10} and B={0,1,2,3,4}\mathrm{B}=\{0,1,2,3,4\}B={0,1,2,3,4}. The number of elements in the relation R={(a,b)∈A×A:2(a−b)2+3(a−b)∈B}R=\left\{(a, b) \in A \times A: 2(a-b)^{2}+3(a-b) \in B\right\}R={(a,b)∈A×A:2(a−b)2+3(a−b)∈B} is ‾\underline{\hspace{2cm}}​.
Numerical answer
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