If the point P(a2,a) lies in the region corresponding to the acute angle between the lines 2y=x and 4y=x , then

But a2>0, hence point P(a2,a) lies in first quadrant. We havea−a24>0 & a−a22<0(∴(1,0) and P lies on same side of x-2y=0 and (1,0) and P lies opposite sides of x-4y=0)⇒0