y2=2x....(i) and y=x ...(ii) The eq. (i) in a eq. of parabola in standard form and eq. y = x a st. line passing through origin having slope I. The point of intersection of (i) and (ii), we get x2=2x ⇒x2−2x=0 ⇒x(x−2)=0 either x=0 or x−2=0 or, x=2 ∴ y=x∴y=2 Now, required area = area of shaded region A=