Area bounded by the curve `x y^2=a^2(a-x)` and the y-axis is `(pia^2)/2s qdotu n i t s` (b) `pia^2s qdotu n i t s` `3pia^2s qdotu n i t s` (d) None of these

The area bounded by the curve a^2y=x^2(x+a) and the x-axis is (a^2)/3s qdotu n i t s (b) (a^2)/4s qdotu n i t s (3a^2)/4s qdotu n i t s (d) (a^2)/(12)s qdotu n i t s

The area enclosed between the curves y=(log)_e(x+e),x=(log)_e(1/y), and the x-axis is 2s qdotu n i t s (b) 1s qdotu n i t s 4s qdotu n i t s (d) none of these

If f(x)=sinx ,AAx in [0,pi/2],f(x)+f(pi-x)=2,AAx in (pi/2,pi)a n df(x)=f(2pi-x),AAx in (pi,2pi), then the area enclosed by y=f(x) and the x-axis is pis qdotu n i t s (b) 2pis qdotu n i t s 2s qdotu n i t s (d) 4s qdotu n i t s

Area bounded by y=sqrt(5-x^2)a n dy=|x-1| is: (A) (5pi-2)/3 s qdotu n i t s (B) (5pi-2)/4 s qdotu n i t s (C) (5pi)/4 s qdotu n i t s (D) none of these

The area bounded by the curve y^2=8x\ a n d\ x^2=8y is (16)/3s qdotu n i t s b. 3/(16)s qdotu n i t s c. (14)/3s qdotu n i t s d. 3/(14)s qdotu n i t s

The area bounded by the two branches of curve (y-x)^2=x^3 and the straight line x=1 is 1/5s qdotu n i t s (b) 3/5s qdotu n i t s 4/5s qdotu n i t s (d) 8/4s qdotu n i t s

Let f(x)=x^3+3x+2a n dg(x) be the inverse of it. Then the area bounded by g(x) , the x-axis, and the ordinate at x=-2a n dx=6 is 1/4s qdotu n i t s (b) 4/3s qdotu n i t s 5/4s qdotu n i t s (d) 7/3s qdotu n i t s

The area of the triangle formed by the positive x- axis and the normal and tangent to the circle x^2+y^2=4 at (1,sqrt(3)) is (a)2sqrt(3)s qdotu n i t s (b) 3sqrt(2)s qdotu n i t s (c)sqrt(6)s qdotu n i t s (d) none of these

The area of the region enclosed between the curves x=y^2-1a n dx=|y|sqrt(1-y^2) is 1s qdotu n i t s (b) 4/3s qdotu n i t s 2/3s qdotu n i t s (d) 2s qdotu n i t s

Let f(x)=m in i mu m(x+1,sqrt(1-x)) for all xlt=1. Then the area bounded by y=f(x) and the x-axis is 7/3s qdotu n i t s 1/6s qdotu n i t s (11)/6s qdotu n i t s (d) 7/6s qdotu n i t s