JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Analyzing +4 | -1

If the equation

a{\left| z \right|^2} + \overline {\overline \alpha z + \alpha \overline z } + d = 0

represents a circle, where

a,\,d

are real constants, then which of the following condition is correct?

View answer and explanation

Correct option: B

{\left| \alpha \right|^2} - ad > 0\,\,\mathrm{and}\,\,a \in R - \{ 0\}

Option B (

{\left| \alpha \right|^2} - ad > 0\\,\,\\mathrm{and}\\,\,a \in R - \\{ 0\\}

) is correct because it represents the condition for the given equation to represent a circle.

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