Mathematics · 2025
JEE Main · 28 January 2025, Shift 1 · Q9
Two number k_1 and k_2 are randomly chosen from the set of natural numbers. Then, the probability that the value of i^k_1 + i^k_2,( i =√ -1 ) is…
Two number $\displaystyle \mathrm{k}_1$ and $\displaystyle \mathrm{k}_2$ are randomly chosen from the set of natural numbers. Then, the probability that the value of $\displaystyle \mathrm{i}^{\mathrm{k}_1}+\mathrm{i}^{\mathrm{k}_2},(\mathrm{i}=\sqrt{-1})$ is non-zero, equals
Official answer
From NTA’s final answer key for this paper.
(1)
$\displaystyle \frac{3}{4}$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.