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Find parabola equation? Find equation of parabola: Focus: (9,0), directrix x=-9

Find parabola equation? Find equation of parabola: Focus: (9,0), directrix x=-9

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Answer #1

Answer: The equation of parabola is,  

Explanation: let (x, y) be any point on the parabola. Then, the distance between this point and the focus; (9, 0) is,

-------------------------------------------------- (1)

Now, the distance between the directrix, x=-9 and the point, (x, y) is

------------------------------------------------(2)

Since, both the distance are same for parabola. Hence equating eqn 1 and 2.

squaring on both sides

This is the equation of parabola.

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