Find circle which is tangent to x-axis and path through points (1,-2) and (3,-4).
I worked it through analytic geometry and it gives two possible circles!!! and I can not figure how 3 conditions for a circle gives 2 answers or how to draw it geometrically?

Question

Find circle which is tangent to x-axis and path through points (1,-2) and (3,-4).
I worked it through analytic geometry and it gives two possible circles!!! and I can not figure how 3 conditions for a circle gives 2 answers or how to draw it geometrically?

anonymous · Answer

@ganeshie8

welshfella · Answer

general equation is 
(x - a)^2 + ( y - b)^2 = r^2

you can create 2 equations in a , b and r by substituting  the 2 given points

anonymous · Answer

Circle is clearly defined by 3 conditions.
How can I draw 2 circles which path through two points and tangent to a line!!

welshfella · Answer

The circle touches the x -axis  so that another point on  (x , 0)

welshfella · Answer

- good question - I'm trying to figure that

anonymous · Answer

Can you give a picture? 
that is puzzling me

welshfella · Answer

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