Complex Numbers And Quadratic Equations question 234

Question: The two numbers such that each one is square of the other, are [MP PET 1987]

Options:

A) $ \omega ,{{\omega }^{3}} $

B) $ -i,i $

C) $ -1,1 $

D) $ \omega ,{{\omega }^{2}} $

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Answer:

Correct Answer: D

Solution:

Since $ {{(\omega )}^{2}}={{\omega }^{2}} $ and $ {{({{\omega }^{2}})}^{2}}={{\omega }^{4}}=\omega {{\omega }^{3}}=\omega $