Coordinate Geometry Question 87
Question: A point P moves so that its distance from the point $ (a,0) $ is always equal to its distance from the line $ x+a=0 $ . The locus of the point is
[MP PET 1982]
Options:
A) $ y^{2}=4ax $
B) $ x^{2}=4ay $
C) $ y^{2}+4ax=0 $
D) $ x^{2}+4ay=0 $
Show Answer
Answer:
Correct Answer: A
Solution:
$ {{(x-a)}^{2}}+y^{2}={{(x+a)}^{2}}\Rightarrow y^{2}=4ax $ Note: This is also the definition of parabola $ y^{2}=4ax. $
BETA
