

Given, parabola is x2 = 9y
Let P(h, k) is the point on the parabola such that abscissa is 3 times the ordinate.
So, h = 3k .........1
Since P(h, k) lies on the parabola
So, h2 = 9k .........2
From equation 1 and 2, we get
(3k)2 = 9k
=> 9k2 = 9k
=> 9k2 - 9k = 0
=> 9k(k - 1) = 0
=> k = 0, 1
When k = 0, h = 0
So k = 1
Now, from equation 1,
h = 3 * 1 = 3
So, the point is (3, 1)
