Question

If z = a + ib where a and b are less than zero. Conjugate of z lies on which quadrant in Argand plane.

• A. I
• B. II
• C. III
• D. IV

Answer 1

The correct option is B

II

z = a + ib (-, -)

Where a < 0, b < 0

z will lie in third quadrant.

So, conjugate of z = a - ib (-, +)

Since, a and b are less than zero. Negative of 'b' becomes positive.

In conjugate of z (-, +) a<0 and b>0

conjugate of z lies in II quadrant.