InterviewSolution
Saved Bookmarks
| 1. |
If z = x + iy is a complex number such that |z + 2| = |z – 2|, then the locus of z is _____ (a) real axis(b) imaginary axis (c) ellipse (d) circle |
|
Answer» (b) imaginary axis |z + 2| = | z – 2| ⇒ |x + iy + 2| = |x + iy – 2| ⇒ |x + 2 + iy|2 = |x – 2 + iy|2 ⇒ (x + 2)2 + y2 = (x – 2)2 + y2 ⇒ x2 + 4 + 4x = x2 + 4 – 4x ⇒ 8x = 0 ⇒ x = 0 |
|