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  • The focal distance of a point on a parabola y^2=8x. is find it.

The focal distance of a point on a parabola y^2=8x. is find it.

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Solution: Comparing  \ y^2=8x   With  \ y^2=4ax

     herefore 4a=8Rightarrow a=2 

herefore Equation of directrix is  \x+2=0

Let \(alpha ,eta ) on the parabola 

\Rightarrow y^2=8x\ \ herefore eta ^2=8alpha \ \ecause SP=8\ \ Rightarrow PM=8Rightarrow alpha +2=8\ \Rightarrow alpha =6Ans

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Deependra Verma

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