The area bounded by the parabola y2 = 2x and the ordinates x = 1 and x = 4 is _______ .
√3/5
13√3/5
5√3/16
14√2/3
The area bounded by the parabola y2 = x and its latus rectum is _________ .
4/3
1/6
2/3
8/3
Find the area of the curve y2 = (x-5)2 (x-6) between x=5 and x=6 .
-1
1
0
None of these
The area bounded by the line y=x ,the x-axis ,the ordinants x=1 , y=2 is ______ .
3/2
5/2
1/2
7/2
The area of the region bounded by the line 3x-5y-15 = 0 , x=1 , x=4 and x axis .
2/9
-2/9
9/2
-9/2
cos (ex)
-cos (ex)
cos cx)-1
sinex
The area between the ellipse and its auxillary circle is _________ .
πb(a-b)
2πa(a-b)
πa(a-b)
2πb(a-b)
The area between the ellipse and its director circle is ______ .
163 π
7π
19π
3π
The area bounded by the curve y(1+x2)=1 and the lines x=0 , x=1 and y=0 is ______.
π/4
π/2
π
log 2
The area of one loop of the curve y2 =x2 (9-x2) is _______ .
18
2√3
9
4√3
