Conic Sections Question 516
Question: $ x-2=t^{2},\ y=2t $ are the parametric equations of the parabola
Options:
A) $ y^{2}=4x $
B) $ y^{2}=-4x $
C) $ x^{2}=-4y $
D) $ y^{2}=4(x-2) $
Show Answer
Answer:
Correct Answer: D
Solution:
Here $ \frac{y}{2}=t $ and $ x-2=t^{2} $
therefore $ (x-2)={{( \frac{y}{2} )}^{2}} $
therefore $ y^{2}=4(x-2) $ .