Circle tangent to two lines and passes through a given point

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Anonymous
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Find equation of the circle tangent to 4x + 3y = 16 and 5x - 12y = 38 and through (-6,-3).

Lj (not verified)
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Re: Circle tangent to two lines and passes through a given point

circle-tangent-to-two-lines.jpg

Solve for r using the following distance formulas:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

d=\frac{ax_1+by_1+c}{\pm\sqrt{a^2+b^2}}

Solve for (h, k) by simultaneous equations.

xjoles (not verified)
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Re: Circle tangent to two lines and passes through a given point

What software you use to draw? I like it, good job.

Lj (not verified)
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Re: Circle tangent to two lines and passes through a given point

I used AutoCAD, thanks you like it.