Q12 of 40 Page 375

Find the area bounded by curves {(x, y): y ≥ x2 and y = |x|}.


We can observed that the required area is symmetrical about y–axis.


Required area = 2[Area OCAO – Area OCADO]


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More from this chapter

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10

Find the area of the region enclosed by the parabola x2 = y, the line y = x + 2 and the x-axis.

 11

Using the method of integration find the area bounded by the curve |x| + |y| = 1.

[Hint: The required region is bounded by lines x + y = 1, x– y = 1, – x + y = 1 and – x – y = 1].

 13

Using the method of integration find the area of the triangle ABC, coordinates of whose vertices are A(2, 0), B (4, 5) and C (6, 3).

 14

Using the method of integration find the area of the region bounded by lines:

2x + y = 4, 3x – 2y = 6 and x – 3y + 5 = 0