Question

If $z=a+ib$, where a < 0 and b < 0, then the conjugate of z lies in the quadrant in Argand plane.

• A. first
• B. second
• C. third
• D. fourth

Answer 1

The correct option is B second

Given, $z=a+ib$, where a < 0 and b < 0.
$\overline{z}=a-ib$.
The real part of the conjugate is negative since a < 0. The imaginary part of the conjugate is positive, as -b > 0. Thus, the conjugate lies in the second quadrant in the Argand plane.