JEE Mains · Maths · STD 11 - 1. set theory
Let the set \(C=\left\{(x, y) \mid x^2-2^y=2023, x, y \in \mathbb{N}\right\}\). Then \(\sum_{(x, y) \in C}(x+y)\) is equal to
- A \(46\)
- B \(15\)
- C \(75\)
- D \(45\)
Answer & Solution
Correct Answer
(A) \(46\)
Step-by-step Solution
Detailed explanation
\(x^2-2^y=2023 \) \( \Rightarrow x=45, y=1\) \( \sum_{(x, y) \in C}(x+y)=46 \)
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