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Least and greatest distance of a given point from a given circle

The same question, asked 2 times: 21 Apr 2025 S1*, 26 Apr 2025 S1. Every wording below, oldest first.

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  1. Question 1

    21 Apr 2025 S1

    147
    The minimum distance and maximum distance of the point P(2,−7)P(2, - 7) from the circle x2+y2−14x−10y−151=0x^{2}+y^{2}- 14x- 10y- 151 = 0 are respectively____\_\_\_\_ units

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  2. Question 2

    26 Apr 2025 S1

    106
    The least distance of the point A(10,7)A(10,7) from the circle x2+y2−4x−2y−20=0x^{2}+y^{2}- 4x- 2y- 20 = 0 is length of seg AM. If MM′MM^{'} is the diameter of the circle, then the lengths of AMAM and AM′AM^{'} are respectively ____\_\_\_\_ , ____\_\_\_\_ units

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