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16 A circle has radius 10 units and passes through the point (5,-16). The x-axis is a tangent to the circle. Find the possible equations of the circle.

A circle has radius 1010 units and passes through the point (5,−16)(5,-16). The xx-axis is a tangent to the circle. Find the possible equations of the circle.

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Full solution

Q. A circle has radius 1010 units and passes through the point (5,−16)(5,-16). The xx-axis is a tangent to the circle. Find the possible equations of the circle.
  1. Find Center: Determine the center of the circle using the given information that the x-axis is a tangent to the circle and the radius is 1010 units.
  2. Distance Formula: Use the distance formula to find the xx-coordinate of the center using the point (5,−16)(5, -16) which lies on the circle.

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