Question

Help!
I just need a concept on how to solve this problem...

A lot better if its concept is under the hood of analytical ge0m.

or you can give me also some short cuts on how to solve this.

"Find the equation of the circle touching the line 3X-2Y=5 at (3,2) and passing through (-2,1)"

Thanks...

Answer 1

A quick sketch is always helpful.

Assume your circle is (x-a)^2 + (y-b)^2 = r^2, this gives u a couple equations in a,b and r.

On your sketch. construct the radii from the given points, u can see a right triangle at the tangent to radius and to y-axis (point on line), solve for r and use 2 equations above to a,b