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Find the coordinates of the focus, axis of the parabola, the equation of directrix and the length of the latus rectum for y2 = 10x

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The given equation is y2 = 10x.
Here, the coefficient of x is positive. Hence, the parabola opens towards the right.
On comparing this equation with y2 = 4ax, we obtain

4a =10 ⇒a =5/2

∴Coordinates of the focus = (a, 0)=(5/2,0)

Since the given equation involves y2, the axis of the parabola is the x-axis.
Equation of directrix, x = -a,i.c.,x = -5/2
Length of latus rectum = 4a = 10

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