Q. 463.8( 8 Votes )

If z is a complex A. |z2| > |z|2

B. |z2| = |z|2

C. |z2| < |z|2

D. |z2| ≥ |z|2

Answer :

Given z is a complex number.


Let z = x + yi


|z| = |x + yi| and |z|2 = |x + yi|2


|z|2 = x2 + y2 … (1)


Now z2 = x2 + y2i2 + 2xyi


z2 = x2 – y2 + 2xyi






So, |z|2 = x2 + y2 = |z|2


|z|2 = |z2|

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