1.

Fill in the blanks:If z1 and z2 are complex numbers such that z1 + z2 is a real number, then z2 = ……..

Answer»

Let z1 = x1 + iy1 and z2 = x2 + iy2

⇒ z1 + z2 = (x1 + x2) + i (y1 + y2) which is real

⇒ y1 + y2 = 0

⇒ y1 = - y2

Assuming x1 = x2

Since z2 = x1 – iy1

∴ z2 = z̅ 1



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