Conic Sections Question 539

Question: The equations $ x=\frac{t}{4},\ y=\frac{t^{2}}{4} $ represents

Options:

A) A circle

B) A parabola

C) An ellipse

D) A hyperbola

Show Answer

Answer:

Correct Answer: B

Solution:

Eliminating t, we get $ 16x^{2}=4y\Rightarrow x^{2}=\frac{1}{4}y $ , which is a parabola.