The area bounded by the parabola `y = 4x^2, y =x^2/9` and the line `y= 2` is (A) `(20sqrt2)/3` (B) `(10sqrt2)/3` (C) `(40sqrt2)/3` (D) `sqrt2 /3`

Area bounded by the parabola y^2=x and the line 2y=x is (A) 4/3 (B) 1 (C) 2/3 (D) 1/3

The area bounded between the parabolas x^(2)=(y)/(4) and x^(2)=9y and the straight line y=2 is (1)20sqrt(2)(2)(10sqrt(2))/(3) (3) (20sqrt(2))/(3) (4) 10sqrt(2)

The area bounded between the parabolas x^2=y/4"and"x^2=9y and the straight line y""=""2 is (1) 20sqrt(2) (2) (10sqrt(2))/3 (3) (20sqrt(2))/3 (4) 10sqrt(2)

The area bounded by the curves y = - x^(2) + 3 and y = 0 is a) sqrt(3)+1 b) sqrt(3) c) 4sqrt(3) d) 5sqrt(3)

The shortest distance between line y-x=1 and curve x=y^2 is (a) (3sqrt2)/8 (b) 8/(3sqrt2) (c) 4/sqrt3 (d) sqrt3/4

The area inside the parabola 5x^2-y=0 but outside the parabola 2x^2-y+9=0 is (a) 12sqrt(3) sq units (b) 6sqrt(3) sq units (c) 8sqrt(3) sq units (d) 4sqrt(3) sq units

The length of the chord of the parabola y^2=x which is bisected at the point (2, 1) is (a) 2sqrt(3) (b) 4sqrt(3) (c) 3sqrt(2) (d) 2sqrt(5)

The length of the chord of the parabola y^2=x which is bisected at the point (2, 1) is (a) 2sqrt(3) (b) 4sqrt(3) (c) 3sqrt(2) (d) 2sqrt(5)

The shortest distance between the line yx=1 and the curve x=y^(2) is (A)(3sqrt(2))/(8) (B) (2sqrt(3))/(8) (C) (3sqrt(2))/(5) (D) (sqrt(3))/(4)