Conic Sections Question 39
Question: Which of the following points lie on the parabola $ x^{2}=4ay $
[RPET 2002]
Options:
A) $ x=at^{2},\ y=2at $
B) $ x=2at,\ y=at $
C) $ x=2at^{2},\ y=at $
D) $ x=2at,\ y=at^{2} $
Show Answer
Answer:
Correct Answer: D
Solution:
Substituting $x=2at$,y=$at^2$ in the given equation$(2at)^2=4a(at^2)$
⇒$4a^2t^2=4a^2t^2$
Hence,($2at,at^2$) lies on the parabola $x^2=4ay$
BETA
