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
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
The area between the parabola y = x2 and the line y = x is :
None of these
A.
Equation of parabola is
y = x2 ...(i)
Equation of straight line is
y = x ...(ii)
FromEqs. (i) and (ii)
x2 - x = 0 x(x - 1) = 0
x = 0, 1 y = 0, 1
Hence, point of intersections are (0, 0) and (1, 1).