# 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 = Thus,

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,

x = Length of latus rectum = 4a = 10

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