The equation of the parabola with its vertex at the origin, axis on the y-axis and passing through the point (6, -3) is

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C

Since the axis of parabola is y-axis

$∴$ Equation of parabola $x^{2} = 4 a y$

Since it passes through (6 , -3)

$∴$ 36 = -12 a $\Rightarrow a = - 3$
$∴$ Equation of parabola is $x^{2} = - 12 y$ .

Suggest Corrections

Similar questions

(- 3, 7)

x -

y -

(3, - 3)

Find the equation of the parabola with vertex at the origin, passing through the point $P (3, - 4)$ and symmetric about the y-axis.

A parabola passing through the point (-4,-2) has its vertex at the origin and y-axis as its axis. The latus rectum of

the parabola is

Join BYJU'S Learning Program