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in Parabola by (50.8k points)
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At what point of the parabola x2 = 9y is the abscissa three times that of ordinate?

1 Answer

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Best answer

Given:

The parabola, x2 = 9y

Let us assume the point be (3y1, y1).

Now by substituting the point in the parabola we get,

(3y1)2 = 9(y1)

9y12 = 9y1

y12 – y1 = 0

y1(y1 – 1) = 0

y1 = 0 or y1 – 1 = 0

y1 = 0 or y1 = 1

The points is B (3(1), 1) => (3, 1)

∴The point is (3, 1).

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