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 = 12Answered by Abhisek | 11 months ago