Question

In what ratio does the x-axis divide the area of the region bounded by the parabolas y = 4x – x² and y = x² – x?

Answer 1

Given curves are y = 4x – x² and y = x² – x

Now,

Now, Area of the above x-axis

= A₁ – A₂

= (125/24) – (1/6) = (121/24) 

Hence, the required ratio 

= (A₁ – A₂) : A₂

= (121/24) : (1/6) = 121 :4