The area (in sq. units) of the region `{(x , y): y^2geq2x` and `x^2+y^2lt=4x , xgeq0}` is : (A) `pi-4/3` (B) `pi-8/3` (C) `pi-(4sqrt(2))/3` (D) `pi-(2sqrt(2))/3`

The area of the region described by A={(x,y):x^(2)+y^(2)<=1 and y^(2)<=1-x} is (A) (pi)/(2)+(4)/(3)(B)(pi)/(2)-(4)/(3)(C)(pi)/(2)-(2)/(3)(D)(pi)/(2)+(2)/(3)

The area of the region described by A={(x,y):x^(2)+y^(2)<=1 and quad y^(2)<=1-x} is (1) (pi)/(2)+(4)/(3)(2)(pi)/(2)-(4)/(3)(3)(pi)/(2)-(2)/(3)(4)(pi)/(2)+(2)/(3)

the area of the region described by A={x,y]=x^(2)+y^(2)<= and y^(2)<=1-x} is (a) (pi)/(2)-(2)/(3) (b) (pi)/(2)+(2)/(3)(cc)(pi)/(2)+(4)/(3)(d)(pi)/(2)-(4)/(3)

The angle of intersection of the parabola y^2=4\ a x and x^2=4a y at the origin is pi//6 (b) pi//3 (c) pi//2 (d) pi//4

The area of the circle x^2+y^2=16 exterior to the parabola y^2=6x is (A) 4/3(4pi-sqrt(3)) (B) 4/3(4pi+sqrt(3)) (C) 4/3(8pi-sqrt(3)) (D) 4/3(8pi+sqrt(3))

The area of the region given by x^(2)+y^(2)-6y<=0&y<=x is (9 pi-9)/(4)b(9 pi-18)/(4)c.(3 pi+9)/(4)d .none of these

The angle of intersection of the curves y=2\ s in^2x and y=cos2\ x at x=pi/6 is pi//4 (b) pi//2 (c) pi//3 (d) pi//6

The angle between the lines joining origin to the points of intersection of the line sqrt(3)x+y=2 and the curve y^(2)-x^(2)=4 is (A) tan^(-1)((2)/(sqrt(3)))(B)(pi)/(6)(C)tan^(-1)((sqrt(3))/(2)) (D) (pi)/(2)

The angle between lines joining the origin to the points of intersection of the line sqrt(3)x+y=2 and the curve y^(2)-x^(2)=4 is equal to (A)tan^(-1)((2)/(sqrt(3)))(B)(pi)/(6)(C)tan^(-1)((sqrt(3))/(2))(D)(pi)/(2)