Coordinate Geometry Question 100
Question: The locus of a point which moves in such a way that its distance from (0,0) is three times its distance from the x-axis, as given by
[MP PET 1993]
Options:
A) $ x^{2}-8y^{2}=0 $
B) $ x^{2}+8y^{2}=0 $
C) $ 4x^{2}-y^{2}=0 $
D) $ x^{2}-4y^{2}=0 $
Show Answer
Answer:
Correct Answer: A
Solution:
Let the point be (x, y), then according to the given condition $ \sqrt{x^{2}+y^{2}}=3y $ { $ \because $ distance from x-axis is y}
$ \Rightarrow x^{2}+y^{2}=9y^{2}\Rightarrow x^{2}-8y^{2}=0 $ .
BETA
