JEE MATHEMATICS MCQ: THEORY OF EQUATION

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Analyzing +4 | -1

In the complex plane, let

A

be the set of solutions to

z^{3}-8=0

and let

B

be the set of solution to

z^{3}-8 z^{2}-8 z+64=0

, then the maximum distance between a point of

A

and a point of

B

View answer and explanation

Correct option: D

2 \sqrt{21}

The correct answer is

2 \sqrt{21}

because the maximum distance is found by identifying the points in sets A and B that are farthest apart in the complex plane.

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