Let z and w be two complex numbers such that |z| ≤ 1, |w| ≤ 1 and |z + iw| = |z - iw| = 2, then z equals

Let z and w be two complex numbers such that |z| ≤ 1, |w| ≤… — JEE Main 1995 Mathematics PYQ

1995

Let

z

and

w

be two complex numbers such that

|z| \leq 1

|w| \leq 1

and

|z + iw| = |z - i\bar{w}| = 2

, then

z

equals

Show answer

Correct option: C

[1995]

Practise Complex Numbers and Quadratic Equations the way it is asked

A timed set of real JEE Main Complex Numbers and Quadratic Equations questions, graded as the exam grades. No sign-up.