Coordinate Geometry Question 111
Question: If $ A(-a,0) $ and $ B(a,0) $ are two fixed points, then the locus of the point on which the line AB subtends the right angle, is
Options:
A) $ x^{2}+y^{2}=2a^{2} $
B) $ x^{2}-y^{2}=a^{2} $
C) $ x^{2}+y^{2}+a^{2}=0 $
D) $ x^{2}+y^{2}=a^{2} $
Show Answer
Answer:
Correct Answer: D
Solution:
We know that $ PA^{2}+PB^{2}=AB^{2} $
$ \Rightarrow {{(x-a)}^{2}}+y^{2}+{{(x+a)}^{2}}+y^{2}={{(2a)}^{2}} $
$ \Rightarrow x^{2}+y^{2}=a^{2} $ .
BETA
