Let Z_1 and Z_2 be complex numbers such that 3Z_1 4Z_2 is purely imaginary. What is | Z_1+Z_2 Z_1-Z_2 | equal to?

NDA 2026 Mathematics question

Let and be complex numbers such that is purely imaginary. What is equal to?

Answer: (D)

Since is purely imaginary, for some real . Dividing numerator and denominator

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Question ID VK-030255