Let the set C= \ (x, y) mid x 2 -2 y =2023, x, y in mathbb N \ . Then sum (x, y) in C (x+y) is equal to \ \ \ \ \ \ \ .

Mathematics · Sets and Relations

JEE Main 2024 — 29 January, Shift 2 — Question 29

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 $\_\_\_\_\_\_\_$ .

Numerical answer — enter this value.

$\mathrm{x}^{2}-2^{\mathrm{y}}=2023$

$\Rightarrow x=45, \mathrm{y}=1$

$\sum_{(x, y) \in C}(x+y)=46$

Answer key and solution verified before publishing.

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