Coordinate Geometry Question 89
Question: The equation to the locus of a point which moves so that its distance from x-axis is always one half its distance from the origin, is
Options:
A) $ x^{2}+3y^{2}=0 $
B) $ x^{2}-3y^{2}=0 $
C) $ 3x^{2}+y^{2}=0 $
D) $ 3x^{2}-y^{2}=0 $
Show Answer
Answer:
Correct Answer: B
Solution:
Let the moving point be (x, y) and its distance from x-axis is y. Therefore, according to given condition $ \frac{1}{2}\sqrt{x^{2}+y^{2}}=y\Rightarrow x^{2}-3y^{2}=0 $ This is required locus of the point (x, y).
BETA
