Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum y2 = – 8x

Asked by Pragya Singh | 11 months ago |  103

##### Solution :-

The equation is y2 = -8x

Here we know that the coefficient of x is negative.

So, the parabola open towards the left.

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

-4a = -8

a = $$\dfrac{-8}{-4}$$ = 2

Thus, co-ordinates of the focus = (-a,0) = (-2, 0)

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

Equation of directrix, x =a, then,

x = 2

Length of latus rectum = 4a

= 4 (2) = 8

Answered by Abhisek | 11 months ago

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