The greatest distance of the point P (10,7) from the circle `x^2+y^2-4x-2y-20=0` is

Statement 1 : The least and greatest distances of the point P(10 ,7) from the circle x^2+y^2-4x-2y-20=0 are 6 units and 15 units, respectively. Statement 2 : A point (x_1,y_1) lies outside the circle S=x^2+y^2+2gx+2fy+c=0 if S_1>0, where S_1=x_1^2+y_1^2+2gx_1+2fy_1+c (a) Statement 1 and Statement 2 are correct. Statement 2 is the correct explanation for the Statement 1. (b) Statement 1 and Statement 2 are correct. Statement 2 is not the correct explanation for the Statement 1. (c) Statement 1 is true but Statement 2 is false. (d) Statement 2 is true but Statement 1 is false.

The greatest distance from (10, 7) to circle x^(2) + y^(2) - 4x - 2y - 20 = 0 is 5alpha unit, then the value of alpha is-

The point (0, 0) ________ the circle x^(2) + y^(2)+2x-2y - 2 = 0 .

Let P be the point on the parabola y^(2)=4x which is at the shortest distance from the centre S of the circle x^(2)+y^(2)-4x-16y+64=0 . Let Q be the point on the circle dividing the line segment SP internally. Then

Let P be the point on parabola y^2=4x which is at the shortest distance from the center S of the circle x^2+y^2-4x-16y+64=0 let Q be the point on the circle dividing the line segment SP internally. Then

The lngth of the tangent from the point (1, 1) to the circle x^2 + y^2 + 4x + 6y + 1 = 0 is

Find the lengths of the tangents drawn from the point. (-1,1) to the circle x^(2)+y^(2)-2x+4y+1=0

Find the lengths of the tangent drawn from the point. (2,-2) to the circle 3(x^(2)+y^(2))-4x-7y=3

The sum of least distance and greatest distance from (4, -3) to circle x^(2) + y^(2) + 4x - 10y - 7 = 0 is 5k then the value of k is -

The length of diameter of the circle concentric to the circle x^2+y^2-4x+2y-20=0 and passes through the origin is___