Question -
Answer -
Given:
The parabola, x2 = 12y
Now, let us compare to the actual parabola, y2 =4ax
Then,
Vertex is O(0, 0)
Ends of latus rectum is (2b, b), (-2b, b)
4b = 12
b = 12/4
= 3
Ends of latus rectum = (2(3), 3), (- 2(3), 3)
Ends of latus rectum is A(6, 3), B(- 6, 3)
We know that area of the triangle with the vertices (x1,y1), (x2, y2) and (x3, y3)is
∴The area of the triangle is 18 sq.units.