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Jee Main 2025 — Medium JEE math MCQ

Two number \( k_1 \) and \( k_2 \) are randomly chosen from the set of natural numbers. Then, the probability that the value of \( i^{k_1} + j^{k_2}, (i = \sqrt{-1}) \) is non-zero, equals
  1. A. \( \frac{1}{2} \)
  2. B. \( \frac{3}{4} \)
  3. C. \( \frac{1}{7} \)
  4. D. \( \frac{2}{3} \)

Solution

The correct option is **B**. (B. \( \frac{3}{4} \))

MATH

medium • PYQ Reworded
Question
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Two number k1 k_1 and k2 k_2 are randomly chosen from the set of natural numbers. Then, the probability that the value of ik1+jk2,(i=−1) i^{k_1} + j^{k_2}, (i = \sqrt{-1}) is non-zero, equals
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Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep