At what point of the parabola x2 = 9y is the abscissa three times tha

1.	At what point of the parabola x2 = 9y is the abscissa three times that of ordinate?
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).

At what point of the parabola x2 = 9y is the abscissa three times that of ordinate?

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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At what point of the parabola x2 = 9y is the abscissa three times that of ordinate?

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