If at least one value of the complex number satisfy the co… | CGP Edu

Maths Complex Number JEE Main 2020 Numeric Response

Published by: CGP EDU Academic Team

Published on: August 14, 2026

If at least one value of the complex number satisfy the condition and the inequality then minimum value of is

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The correct answer is:

(2)
If is a complex number satisfying the given conditions, then

Since represents a circle with centre at and radius and

represents the interior of the circle with centre at and radius , therefore

there will be a complex number satisfying the given condition and the given inequality if the

distance is less than the sum or difference of the radii of the two circles, i.e., if

or

or

But from , therefore .

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