Area common to the curves `y=x^3` and `y=sqrt(x)` is (A) `5/12` (B) `5/4` (C) `5/2` (D) none of these

Area common to the curves y=sqrt(x) and x=sqrt(y) is (A) 1 (B) 2/3 (C) 1/3 (D) none of these

Area common to the curves y=sqrt(x) and x=sqrt(y) is (A) 1 (B) 2/3 (C) 1/3 (D) none of these

Area of the region bounded by the curves y=x^2+2, y=-x, x=0 and x=1 is (A) 3/6 (B) 5/6 (C) 17/6 (D) none of these

Area bounded by the curves y=|x-1|, y=0 and |x|=2 is (A) 4 (B) 8 (C) 5 (D) 9

The point on the circle (x-3)^2 + (y-4)^2 = 4 which is at least distance from the circle x^2 + y^2 = 1 is : (A) (3/5, 4/5) (B) (9/5, 12/5) (C) (9, 12) (D) none of these

The point on the circle (x-3)^2 + (y-4)^2 = 4 which is at least distance from the circle x^2 + y^2 = 1 is : (A) (3/5, 4/5) (B) (9/5, 12/5) (C) (9, 12) (D) none of these

Area of the region bounded by the line x-y+2=0 and the curve x=sqrt(y) is (A) 9 (B) 16/3 (C) 5/3 (D) 4

The area {(x,y);x^(2)<=y<=sqrt(x)} is equal to (1)/(3) b.(2)/(3) c.(1)/(6) d.none of these

The gradient of the common tangent to the two curves y=x^2-5x+6 and y=x^2+x+1 is: -1/3 (b) -2/3 (c) -1 (d) -3