Complex Numbers And Quadratic Equations question 75

Question: If z1, z2 are any two complex numbers, then $ |z_1+\sqrt{z_1^{2}-z_2^{2}}| $ $ +|z_1-\sqrt{z_1^{2}-z_2^{2}}| $ is equal to

Options:

A) $ |z_1| $

B) $ |z_2| $

C) $ |z_1+z_2| $

D) $ |z_1+z_2|+|z_1-z_2| $

Show Answer

Answer:

Correct Answer: D

Solution:

Trick: Check by putting $ z_1=1+0i $ and $ z_2=0+i $