Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum y2 = 12x.

Asked by Pragya Singh | 1 year ago |  74

##### Solution :-

The equation is y2 = 12x

Here we know that the coefficient of x is positive.

So, the parabola opens towards the right.

On comparing this equation with y2 = 4ax, we get,

4a = 12

a = 3

Thus, the co-ordinates of the focus = (a, 0) = (3, 0)

Since, the given equation involves y2, the axis of the parabola is the x-axis.

The equation of directrix, x = -a, then,

x + 3 = 0

Length of latus rectum = 4a

= 4 × 3 = 12

Answered by Abhisek | 1 year ago

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