- #1
lionely
- 576
- 2
Homework Statement
The parabola y = 6x - x^2 meets the x-axis at O and A. The tangent at O and A meet at T. Show that the curve divides the area of the triangle OAT into two parts in the ratio 2:1.
Homework Equations
The Attempt at a Solution
Here is my working with my sketch. So I thought I should find the area bounded the Tangent at either A or O and the x-axis to find the area of the triangle . So I integrated from x=6 to x=0 and got 108m^2.
I also wanted to check it another way so I found the coordinates of T(3,18) and used that to find the area of an isosceles triangle the normal way, but I got 54m^2. So I am a bit lost now.
And just to check something I found the area bound by the curve and the x-axis from x = 6 to x =0 and got 36m^2.
I don't know what to do with that 36m^2 yet.
I know 108:54
is 2:1... but I don't think that's the correct method.