In each of the following, find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum.
x2 = 6y
The given equation is y2 = 6y
Here, the coefficient of y is positive.
Hence, the parabola opens upwards.
On comparing this equation with y2 = 4ay, we get,
4a = 6
⇒ a = 
Thus,
Co-ordinates of the focus = (0,a) = 
Since, the given equation involves x2, the axis of the parabola is the y-axis.
Equation of directrix, y =-a, then,
y = 
Length of latus rectum = 4a = 6
3