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Mathematics · 2024

JEE Main · 8 April 2024, Shift 1 · Q6

If the set R={(a, b): a+5 b=42, a, b ∈ N } has m elements and Σ_n=1^m(1-i^n!)=x+i y, where i=√ -1, then the value of m+x+y is

If the set $\displaystyle R=\{(a, b): a+5 b=42, a, b \in \mathbb{N}\}$ has $\displaystyle m$ elements and $\displaystyle \sum_{n=1}^m\left(1-i^{n!}\right)=x+i y$, where $\displaystyle i=\sqrt{-1}$, then the value of $\displaystyle m+x+y$ is
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.