Q. 83.7( 3 Votes )

If is purely imaginary and z = –1, show that |z| = 1.

Answer :

Let z= a + ib


Now,






Given that is purely imaginary real part = 0



a2 + b2 - 1 = 0


a2 + b2 = 1


|z| = 1


Hence proved.


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