**The area of the region bounded by parabola y2 = x and the straight line 2y = x is (a) 4/3 sq. units (b) … (c) 2/3 sq. units (d) 1/3…**

###### Answers:

(a) We have y^{2} = x and 2y = x

Solving, we get y^{2} = 2y

⇒ y = 0,2

When y = 0, x=0 and when y = 2, x = 4

So, points of intersection are (0,0) and (4,2)

Graphs of parabola y^{2} = x and 2y = x are as shown in the following figure.