question_answer

The area of the region bounded by the curves \[y={{x}^{2}}\] and \[y=\,|x|\] is                                                [Roorkee 1999]

A)            1/6

B)            1/3

C)            5/6

D)            5/3

Correct Answer: B

Solution :

  Required area = 2 (shaded area in first quadrant)                               =\[2\int_{0}^{1}{(x-{{x}^{2}})\,dx=2\times \frac{1}{6}=\frac{1}{3}}\].