Complex Numbers And Quadratic Equations question 71
Question: The value of $ |z-5| $ if $ z=x+iy $ , is [RPET 1995]
Options:
A) $ \sqrt{{{(x-5)}^{2}}+y^{2}} $
B) $ x^{2}+\sqrt{{{(y-5)}^{2}}} $
C) $ \sqrt{{{(x-y)}^{2}}+5^{2}} $
D) $ \sqrt{x^{2}+{{(y-5)}^{2}}} $
Show Answer
Answer:
Correct Answer: A
Solution:
$ z=x+iy $ , then $ |z-5|=|x+iy-5|=|x-5+iy| $ $ =\sqrt{{{(x-5)}^{2}}+y^{2}} $ .
BETA
