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Distances of a point from the coordinate axes and planes

This type of question, asked 3 times: 19 Apr 2025 S1, 22 Apr 2025 S1, 13 May 2026 S2. All 3 questions 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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  3. Question 3

    13 May 2026 S2

    96
    Let aa and bb be the distances from the point (2,3,4)(2, 3, 4) to the XY plane and Y-Axis respectively. Then a2+b2=a^2 + b^2 =

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