The area bounded by the curve `y^2=4x` and the double ordinate `x=2,` is `4/3sqrt(2)u n i t^2` (B) `8/3sqrt(2)u n i t^2` (C) `(16)/3sqrt(2)u n i t^2` (D) none of these

The area bounded by the curve y^2=1-x and the lines y=(|x|)/x ,x=-1,a n dx=1/2i s 3/(sqrt(2))-(11)/6s qdotu n i t s (b) 3sqrt(2)-(11)/4s qdotu n i t s 6/(sqrt(2))-(11)/5s qdotu n i t s (d) none of these

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 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 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

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 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

The area bounded by the curve x^(2)=ky,k>0 and the line y=3 is 12unit^(2) . Then k is (A)3(B)3sqrt(3)(C)(3)/(4) (D) none of these

The area bounded by the curve f(x)=x+sinx and its inverse function between the ordinates x=0a n dx=2pi is 4pis qdotu n i t s (b) 8pis qdotu n i t s 4s qdotu n i t s (d) 8s qdotu n i t s

The area bounded by the parabola y=4x^(2),y=(x^(2))/(9) and the line y=2 is (A) (20sqrt(2))/(3) (B) (10sqrt(2))/(3) (C) (40sqrt(2))/(3) (D) (sqrt(2))/(3)

Consider two curves C_1: y^2=4[sqrt(y)]x a n dC_2: x^2=4[sqrt(x)]y , where [.] denotes the greatest integer function. Then the area of region enclosed by these two curves within the square formed by the lines x=1,y=1,x=4,y=4 is 8/3s qdotu n i t s (b) (10)/3s qdotu n i t s (11)/3s qdotu n i t s (d) (11)/4s qdotu n i t s