Let q be the maximum integral value of p in [0, 10] for which the roots of the equation x^2-px+ 5 4 p=0 are...

Question

Let q be the maximum integral value of p in [0, 10] for which the roots of the equation x^2-px+ 5 4 p=0 are rational. Then the area of the region (x,y):0 y (x-q)^2,0 x q is

Accepted Answer

(C)

JEE Main 2023 Mathematics question

Solution