Q25 of 66 Page 91

Fill in the blanks of the following

If z1 and z2 are complex numbers such that z1 + z2 is a real number, then z2 = ……..

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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