Solveeit Logo

Question

Mathematics Question on Complex Numbers

Given below are two statements:
If z1z_1 and z2z_2 are complex numbers
Statement-1 : arg(z1z2)=arg(z1)arg(z2)arg(\frac{z_1} {z_2})=arg(z_1)-arg(z_2)
Statement-II : z1+z22=z12+z222Re(z1zˉ2)|z_1+z_2|^2=|z_1|^2+|z_2|^2-2Re(z_1\bar z_2)
In the light of the above statements, choose the correct answer from the options given below.

A

Both Statement-I and Statement-ll are true

B

Both Statement-I and Statement-ll are false

C

Statement-I is correct but Statement-II is false

D

Statement-I is incorrect but Statement-ll is true

Answer

Statement-I is correct but Statement-II is false

Explanation

Solution

The correct option is (C):Statement-I is correct but Statement-II is false