1. The problem statement, all variables and given/known data 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. 2. Relevant equations 3. 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.