The number of such points `(a+1,sqrt3a)`, where a is any integer, lying inside the region bounded by the circles `x^2 +y^2-2x-3=0` and `x^2+y^2-2x-15=0`, is

The number of points (a + 1,a) where a in I , lying inside the region bounded x^(2) + y^(2) -2x -15 =0 is

The point ([P + 1], [P]), (where [.] denotes the greatest integer function) lying inside the region bounded by the circle x^2+y^2-2x-15=0 and x^2+y^2-2x-7=0 , then

The number of points in the form (alpha+1,sqrt3alpha),alpha in Z , lying inside the region bounded by the circle (x-1)^2+y^2=4 and (x-1)^2+y^2=16 is ___

The point ( [ P+1 ] , [ P ] ) (where [.] denotes the greatest integer function), lying inside the region bounded by the circle x^2 + y^2 - 2x - 15 = 0 and x^2 + y^2 - 2x - 7 =0, then :

The point ( [ P + 1 ] , [ P ] ) (where [.] denotes the greatest integer function), lying inside the region bounded by the circle x^2 + y^2 - 2x - 15 = 0 and x^2 + y^2 - 2x - 7 =0, then :

The are bounded by the curve y^2 = 4x and the circle x^2+y^2-2x-3=0 is

The are bounded by the curve y^2 = 4x and the circle x^2+y^2-2x-3=0 is

Find the area of the region bounded by the curves y=x^(2)+2y=x,x=0 and x=3