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The point on a circle nearest to the poi...

The point on a circle nearest to the point `P(2,1)` is at a distance of 4 units and the farthest point is (6, 5). Then find the equation of the circle.

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To find the equation of the circle based on the given information, we will follow these steps: ### Step 1: Identify the given points and distances - Let point \( P(2, 1) \) be the external point. - The nearest point on the circle from \( P \) is at a distance of 4 units. - The farthest point on the circle is given as \( B(6, 5) \). ### Step 2: Calculate the distance \( PB \) ...
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