Question

7)
Find the coordinate of the points on the parabola y2 = 8x whose focal distance is 10.​

Answer 1

Answer: Distance of point P(x,y) from the focus S(a,0) of the parabola y2=4ax is SP = a+x.

Also, given that SP=10.

∴ 10=2+x

∴ x=8

So, from y2=8x,

y2=64

∴ y=±8

So, coordinates of point P are (8,8) or (8,-8).

Hope it helps

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