\"\"

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The values are given by the circle C,\"\" and \"\".

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Here MPO is right angled triangle.

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Hence \"\".

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Use pythagorean theorem to find x.

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\"\"                       (Apply Pythagorean theorem)

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\"\"                           (Substitute \"\",\"\" and \"\")

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\"\"                                (Evaluate powers)\"\"

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\"\"             (Subtract 256 from each side)

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\"\"

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\"\"                                         (Subtract: \"\")

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\"\"                                             (Apply squart root of each side)

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\"\"                                                (Because x is length)\"\"

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Since \"\",\"\" and \"\".

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\"\"                        (Apply Converse of pythagorean theorem)\"\"                           (Substitute \"\",\"\" and \"\")

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\"\"                                  (Evaluate powers)

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\"\"                                          (Add: \"\") \"\"

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Because \"\",\"\" is a right angled triangle.

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So,PR is tangent to circle C.