Question

Conjugate of z is the mirror image of z along _______ on the Argand plane.

• A. Imaginary axis
• B. Real axis
• C. Origin
• D. None of these

Answer 1

The correct option is B

Real axis

Let z = a + ib (+, +)

Where a and b are real number

and a > 0, b > 0

Conjugate of z = a - ib (+ -)

Now, if z lies in I quadrant, then conjugate of z should lie in IV quadrant and vice-versa Similarly if z lies in II quadrant, then conjugate of z should lie in III quadrant. So, conjugate of z is the mirror image of z along real axis on the argand plane.