# Find the Equation of the Circle which passes through 2 points on x - axis which are at a distance of 4 units from origin and whose radius is 5 units

The general equation of the circle is,
${x}^{2}+{y}^{2}+2gx+2fy+c=0$... (1)
The two points on the x-axis are at the distance of 4 units from the orgin.
So the points can be (4, 0) and (-4, 0).
So (1) passes through these 2 points.

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