The part of straight line y = x + 1 between x = 2 and x = 3 is revolved about x-axis, then the curved surface of the solid thus generated is
The part of circle x2 + y2 = 9 in between y = 0 and y = 2 is revolved about y-axis. The volume of generating solid will be
None of these
A.
The part of circle x2 + y2 = 9 in between y = 0 and y = 2 is revolved about y-axis. Then, a frustum of sphere will be formed.
The volume of this frustum
For , the area between the curve y = sin(x) and x - axis is
1 sq unit
0 sq unit
2 sq unit
- 1 sq unit
The area bounded by the curves y2 = 4a2(x - 1) and lines x = 1 and y = 4a is
4a2 sq unit
None of these
The solution of the differential equation is
(x + y)2 = a2x + C
(x + y)2 = 2a2x + C
None of the above
Area bounded by the curve y = loge(x), x = 0, y 0 and x - axis is :
1 sq unit
sq unit
2 sq unit
None of these