Q. 44.2( 25 Votes )

In each of

Answer :

The given equation is x2 = -16y


Here, the coefficient of y is negative.


Hence, the parabola opens downwards.


On comparing this equation with x2 = -4ay, we get,


-4a = -16


a = 4


Thus,


Co-ordinates of the focus = (0,-a) = (0,-4)


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


Equation of directrix, x =a, then,


y = 4


Length of latus rectum = 4a = 16


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