The radius of the two circles are 5 unit respectively. The contact point between two circles is (1,2).the external general tangent equation between the two circle is 4x+3y=10.plz help me to find out the equations of the two circles?? I have just find out the slope of the equation.I really expect ur help cause I am a beginner. In this question I have added the radius of the circles.strong text
2026-04-12 07:34:24.1775979264
I am unable to relate the given data with the asked questions.i dont know how to find out the centres of the circles using the given data
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The line between circle centers has a slope of $3/4$ (the negative reciprocal of the tangent equation) and also passes through point $(1, 2)$. The two circle centers are therefore located at $(1+4, 2+3)$ and $(1-4, 2-3)$ which are $(5, 5)$ and $(-3, -1)$
From the circle center locations and radius, you can determine the equations of the circles using $(x – h)^2 + (y – k)^2 = r^2$