JEE Main 2021 (18 Mar, Shift 1) Maths Q62: If the equation…

Question

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

Accepted Answer

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

Answer

$|\alpha|^2 - ad \ge 0$ and $a\in\mathbf{R}$

Answer

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

Answer

$|\alpha|^2 - ad 
e 0$

Answer

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

JEE Main 18 March 2021, Shift 1, Maths Q62