GATE 2020 PI – Question 13

Engineering Mathematics · Linear Algebra · 1 mark · Multiple choice

For complex z₁=2+3i and z₂=4−5i, evaluate (z₁+z₂)².

Show answer and explanation

Correct answer: (A) 32−24i

Explanation

First add the numbers: z₁+z₂=6−2i. Squaring gives36−24i+4i²=32−24i because i²=−1. Therefore A; the imaginary sign must remain negative.

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