Finding equation of circles

[teresajnc]

Find the equation of two circles that pass through the points (3,0) and (7,0) and touch the y-axis

 

[Deleted member 4993]

Find the equation of two circles that pass through the points (3,0) and (7,0) and touch the y-axis

Please share your thoughts on this problem.

Exactly where are you stuck?

 

[teresajnc]

this version of the question.
I'm following this approach.

If the center is (-g,-f )and the equation x^2 + y^2 +2gx +2fy +c =0.
here the radius is equal to g.
and c =f^2
For the given two points the value of radius will be equal (distance of the center and two points).
The value of g=5, and so radius = 5.
But the value of f does not come according to the answer, it becomes a complex number.

 

[teresajnc]

No problem, My sister solved it