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 $