Find the coordinates of the focus, axis of the parabola, the equation of directrix and the length of the latus rectum for x² = –9y

Open in App

Solution

The given equation is x² = –9y.

Here, the coefficient of y is negative. Hence, the parabola opens downwards.

On comparing this equation with x² = –4ay, we obtain

∴Coordinates of the focus =

Since the given equation involves x², the axis of the parabola is the y-axis.

Equation of directrix,

Length of latus rectum = 4a = 9

Suggest Corrections

Similar questions

x^{2} = - 9 y

Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum.
$x^{2} = - 9 y$

x^{2}

= - 16 y

x^{2} = - 16 y

y^{2}

= - 8 x

Join BYJU'S Learning Program