Find the area of the curve y2 = (x-5)2 (x-6) between x=5 and x=6 ?
-1
1
0
None of these
Find the area of the parabola y2 =4ax bounded by its latus rectum ?
28/3 a2
32/3 a2
8/3 a2
The area of one loop of the curve y2 =x2 (9-x2) is _______ .
18
2√3
9
4√3
The area between the hyperbola xy = c2, then x - axis and the ordinates at a and b with a > b is
c2 log (a/b)
c2 log (b/a)
c2 log (a b)
Find the area bounded by the curve y=Cos x between x=0 and x=2π .
4
3
2
The area between the hyperbola xy = c2, then x - axes and the ordinates at a and b with a > b is
The area bounded by the parabola y2 = x and its latus rectum is _________ .
4/3
1/6
2/3
8/3
The area enclosed by the ellipse is ______ .
πa(a-b)
πab
π b/a
π a/b
Find the area of the circle whose radius is a unit is _________ .
πa2
4πa2
πa2 /4
πa2 / 2
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