[" If "x^(2)+y^(2)+4x-2y-4=0" ,find range of "],[qquad sqrt(x^(2)+y^(2)-2x-4y+5)]

If x^(2)+y^(2)+6x-4y-12=0 then find the ragne of 2x+y

If x^(2)+y^(2)+6x-4y-12=0 then find the ragne of 2x+y

If x^(2)+y^(2)+6x-4y-12=0 then find the ragne of 2x+y

Find the values of x and y if x^(2)+y^(2)-2x+4y=-5 .

Find all common tangents of the pairs of circles x^(2) +y^(2) +4x + 2y -4 =0 and x^(2) +y^(2) -4x -2y +4=0

A circle S cuts three circles x^(2) + y^(2) - 4x - 2y + 4 = 0 , x^(2) + y^(2) - 2x - 4y + 1 = 0 " and " x^(2) + y^(2) + 4x + 2y + 1 = 0 orthogonally . Then the radius of S is

Statement 1: The equations of the straight lines joining the origin to the points of intersection of x^(2)+y^(2)-4x-2y=4 and x^(2)+y^(2)-2x-4y-4=0 is x-y=0 . Statement 2: y+x=0 is the common chord of x^(2)+y^(2)-4x-2y=4 and x^(2)+y^(2)-2x-4y-4=0