The equations x = t 4 , ;y = t^2 4 represents - Vidyadip

MCQ

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

A
A circle
✓
A parabola
C
An ellipse
D
A hyperbola

✓

Answer

Correct option: B.

A parabola

b
(b) Eliminating $t$, we get

$16{x^2} = 4y $

$\Rightarrow {x^2} = \frac{1}{4}y$, which is a parabola.

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