Conic Sections Question 538

Question: The parametric equation of the curve $ y^{2}=8x $ are

Options:

A) $ x=t^{2},\ y=2t $

B) $ x=2t^{2},\ y=4t $

C) $ x=2t,\ y=4t^{2} $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

Parametric equations of $ y^{2}=4ax $ are $ x=at^{2},y=2at $

Hence if equation is $ y^{2}=8x $ , then parametric equations are $ x=2t^{2},y=4t $ .