If the equation a|z|² + ... represents a circle

JEE MAIN 2021

18-03-21 S1

Question

If the equation $\mathrm{a}|\mathrm{z}|^2+\overline{\alpha \overline{\mathrm{z}}+\alpha \overline{\mathrm{z}}}+\mathrm{d}=0$ represents a circle where $a, d$ are real constant when which of the following condition is correct?

Select the correct option:

$|\alpha|^2-\mathrm{ad} \neq 0$

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

$|\alpha|^2-\mathrm{ad} \geq 0$ and $a \in R$

$\alpha=0, a, d \in \mathrm{R}^{+}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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