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Question

Find the coordinates of the focus axis of the parabola the equation of directrix and the length of the latus rectum for y2=8x

Solution
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The given equation is y2=8x
Here the coefficient of x is negative.
Hence the parabola opens towards the left.
On comparing this equation with y2=4ax
4a=8
a=2
Coordinates of the focus =(a,0)=(2,0)
Axis of the parabola is the x-axis i.e.y=0
Equation of directrix x=a i.e.,x=2
Length of latus rectum =4a=8

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