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

Find the equation of the circle through the points of interrection of the circles x^(2)+y^(2)-4x-6y-12=0 and x^(2)+y^(2)+6x+4y-12=0 and cutting the circle x^(2)+y^(2)-2x-4=0 orthogonally.

Find the equation of the image of the circle x^(2)+y^(2)-6x-4y+12=0 by the line mirror x+y-1=0

Find the equation of tangents to x^(2)+ y^(2) -4x + 6y - 12=0 which are parallel to x + 2y -8=0 .

Let the equation of circle is x ^(2) + y ^(2) - 6x + 4y + 12=0. Then the line 3x - 4y + 5 is a

The equation of the image of the circle x^(2)+y^(2)-6x-4y+12=0 by the line mirror x+y-1=0 is

Find the equation of a circle which is concentirc with x^(2) +y^(2) - 6x - 4y - 12 = 0 and passing through (-2,14) .