The area of the region bounded by the curve , its tangent at (1, 1) and X-axis, is
sq units
sq units
The area of the region bounded by the curves y = x2 and x = y2 is
1/3
1/2
1/4
3
A.
1/3
Given curves are y = x2 and x = y2, which is the form of parabola.
The point of intersection, x = (x2)2
When x = 0, then y = 0
When x = 1, then y = 12 = 1
The point of intersection is (0, 0) and (1, 1).
Area of shaded region
If . Then, the area of the region enclosed by the curve y = f (x) and the three lines y = x, x = 1and x = 8 is
The area of the region enclosed between parabola y2 = x and the line y = mx is . Then, the value of m is
- 2
- 1
1
2
The area of the region, bounded by the curves y = sin- 1(x) + x(1 - x) and y = sin- 1 (x) - x(1 - x) in the first quadrant, is
1