Question

If a complex number Z is purely real, then conjugate of Z is *
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Answer 1

Answer:

If Z is real. conjugate of Z.

We define the conjugate of x+iy as x-iy. Therefore, the conjugate of any real number 'a' is a-i(0)=a.

Answer 2

Given : complex number Z is purely real,

To Find : conjugate of Z

Solution:

Let say complex number

Z = a + ib

Then conjugate  would be

Z conjugate = a - ib

complex number Z is purely real

Hence imaginary part is zero

hence b = 0

=> Z = a  + i(0)

=> Z = a

Z conjugate = a - i(0)

=> Z conjugate = a

Z conjugate = Z  

complex number Z is purely real, then  conjugate of Z is   Z

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