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Sagot :
Let x₀ y₀ be any point on the parabola.
We will find the distance between (x₀ y₀) and the focus and then find the distance between (x₀ y₀) and the directrix,. Finally we will equate the two equations and solve for x₀ y₀
Using the distance formula
[tex]|d|=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]The distance between (Tx₀ y) and (9,0) is
[tex]\sqrt[]{(x_0-9)^2+(y_0-0)^2}[/tex]The distance between (x₀ y₀) and the directories x=-9 is
|tx + 9|
Next, is to equate the two expressions
t
[tex]\sqrt[]{(x_0-9)^2+y^2_0}[/tex]the
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