the tangent at any point to the circle x^2+y^2+4x-6y-12=0 to the circle x^2+y^2+4x-6y+4=0 is

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Please find below the solution to the asked query:

Ibeleive, you are looking for common tangent For x2+y2+2gx+2fy+c=0, centre is -g,-f and radius is g2+f2-c We havex2+y2+4x-6y-12=0Centre is h1,k1=-2,3Radius is  r1=-22+32+12=5x2+y2+4x-6y+4=0Centre is h2,k2=-2,3Radius is r2=-22+32-4=3As centre of both circles are same, hence they will be concentric whichmeans there will be no common tangent.

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