Q29 of 34 Page 176

The area of the region bounded by parabola y2 = x and the straight line 2y = x is

Given;

Parabola y2 = x and the straight line 2y = x



By substituting for x;


⇒ y2 = 2y


⇒ y (y − 2) = 0


∴ y = 0, 2.


∴ x = 2y = 0, 4.


Required area





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