Coordinate Geometry Question 86
Question: A point moves in such a way that the sum of square of its distance from the points $ A(2,0) $ and $ B(-2,0) $ is always equal to the square of the distance between A and B. The locus of the point is
Options:
A) $ x^{2}+y^{2}-2=0 $
B) $ x^{2}+y^{2}+2=0 $
C) $ x^{2}+y^{2}+4=0 $
D) $ x^{2}+y^{2}-4=0 $
Show Answer
Answer:
Correct Answer: D
Solution:
$ {{(x-2)}^{2}}+y^{2}+{{(x+2)}^{2}}+y^{2}=16\Rightarrow x^{2}+y^{2}=4 $ .
BETA
