The range of parameter `' a '` for which the variable line `y=2x+a` lies between the circles `x^2+y^2-2x-2y+1=0` and `x^2+y^2-16 x-2y+61=0` without intersecting or touching either circle is `a in (2sqrt(5)-15 ,0)` `a in (-oo,2sqrt(5)-15 ,)` `a in (0,-sqrt(5)-1)` (d) `a in (-sqrt(5)-1,oo)`

The range of parameter ' a ' for which the variable line y=2x+a lies between the circles x^2+y^2-2x-2y+1=0 and x^2+y^2-16 x-2y+61=0 without intersecting or touching either circle is (a) a in (2sqrt(5)-15 ,0) (b) a in (-oo, 2sqrt(5)-15,) (c) a in (2sqrt(5)-15,-sqrt(5)-1) (d) a in (-sqrt(5)-1,oo)

The range of parameter ' a ' for which the variable line y=2x+a lies between the circles x^2+y^2-2x-2y+1=0 and x^2+y^2-16 x-2y+61=0 without intersecting or touching either circle is (a) a in (2sqrt(5)-15 ,0) (b) a in (-oo, 2sqrt(5)-15,) (c) a in (2sqrt(5)-15,-sqrt(5)-1) (d) a in (-sqrt(5)-1,oo)

If the variable line 3x-4y+k=0 lies between the circles x^(2)+y^(2)-2x-2y+1=0 and x^(2)+y^(2)-16x-2y+61=0 without x^(2)+y^(2)-16x-2y+61=0 without intersecting or touching either circle,then the range of k is (a,b) where a,b in I Find the value of (b-a).

Thye angle between the lines x-2y+sqrt(15)=0& the circle x^(2)+y^(2)-4x-2y+1=0, is

The pole of the line x-2y+5=0 with respect to the circle x^(2)+y^(2)-4x+2y-4=0 lies on

If x=(sqrt(5)+1)/(sqrt(5)-1) and y=(sqrt(5)-1)/(sqrt(5)+1) find the value of x^(2)+y^(2)

Distance between the parallel line (x+2y)^2+13sqrt5(x+2y)+180=0 is

Find the radical centre of circles x^(2)+y^(2)+3x+2y+1=0,x^(2)+y^(2)-x+6y+5=0 and x^(2)+y^(2)+5x-8y+15=0 . Also find the equation of the circle cutting them orthogonally.