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Sum of squares of the distances of a point from the three axes is given: find its distance from the origin

The same question, asked 2 times: 19 Apr 2025 S1*, 22 Apr 2025 S1. Every wording below, oldest first.

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  1. Question 1

    19 Apr 2025 S1

    128
    If the sum of the squares of the distance of the point P(x,y,z)P(x,y,z) from the co-ordinate axes is 242 , then the distance of the point P from the origin is units.

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  2. Question 2

    22 Apr 2025 S1

    115
    If the sum of the squares of the distances of a point P(x,y,z)P(x,y,z) from the three co-ordinate axes is 324 , then the distance of point P from the origin is ...

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