Question
Mathematics Question on Complex Numbers
Given below are two statements:
If z1 and z2 are complex numbers
Statement-1 : arg(z2z1)=arg(z1)−arg(z2)
Statement-II : ∣z1+z2∣2=∣z1∣2+∣z2∣2−2Re(z1zˉ2)
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