Q. 54.0( 17 Votes )
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.
y2 = 10x
The given equation is y2 = 10x
Here, the coefficient of x is positive.
Hence, the parabola open towards the right.
On comparing this equation with y2 = -4ax, we get,
4a = 10
⇒ a =
Co-ordinates of the focus = (a,0) =
Since, the given equation involves y2, the axis of the parabola is the x-axis.
Equation of directrix, x =-a, then,
Length of latus rectum = 4a = 10
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