The area of the region bounded by the curves y=x2+2,y=x,x=0 and x=3 is
4/3 sq.unit
2/3 sq.unit
21/2 sq.unit
27 sq.unit
The area under the curve y=x2-3x+2 with boundaries as x-axis and the ordinates at x=0,x=3 is
3/8
2/3
3/5
9/2
The area of the region bounded by the curve y=x3,x-axis and the ordinates x=1,x=4 is
255/4
155/4
55/4
355/4
The area bounded by x=0,x=6+5y-y2 is
517/6
278/3
280/3
343/6
The area between the parabola y=x2 and the line y=2x is
1/3
8/3
1/2
4/3
The area between the curves y2=8x and x2=8y is
64/3
34/3
64/5
35/3
The value of c for which the area bounded by the curve y=8x2-x5,the lines x=1,x=c and x-axis is 16/3 is
1
0
-1
-2
If a is the area bounded by x=4-y2 with y-axis,b is the area bounded by x=6+5y-y2 with y axis and c is the area bounded by 2x=y2-1 with y-axis then the ascending order of a,b,c is
a,b,c
b,c,a
a,c,b
c,a,b
If area bounded by the curves y2=4ax and y=mx is a2/3,then the value of m is
2
none
The area bounded by the curve xy=4,x-axis and the ordinates x=2,x=5 is
2 log 5/2
4 log 5/2
5 log 5/2
3 log 5/2
The area of the region bounded by the curve y2=4x,y-axis and the lines y=1,y=3 is
28/3
32/3
13/6
23/3
The area bounded by the curve x=y2 +4y with y-axis is
If a is the area bounded by the curve y=4x-x2-3 with x-axis,b is the area bounded by y=11x-24-x2 with x-axis and c is the area bounded by y=(x-4)(x-1) with x-axis then the descending order of a,b,c is
The area of the region bounded by the curve y=(x2+2)2+2x between the ordinates x=0,x=2 is
436/15
208/3
236/5
340/13
The variable line x/a+y/b=1 is such that a+b=10, the locus of the midpoint of the portion of the line intercepted between the axes is:
x+y=10
10x+5y=1
x+y=5
5x+10y=1
The area bounded by y=cos x,y=x+1,y=0 is
3/2
5/2
The area bounded by the curves y=3x-x2 and y=x2-x is
The area bounded by the curve y2=4x and the lines x=1,x=9 is
If y = sin (logex) then x2 (d2y/dx2) + x (dy/dx) =
sin (logex)
cos (logex)
y2
- y
The area bounded by the curve y=x(x-1)2,y-axis and the line y=2 is
10/3
5/3
20/3
The area of the plane region bounded by the curve x + 2y2 = 0 and 3y2 = 1 is equal to