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Plane that perpendicularly bisects a line segment

This type of question, asked 3 times: 2 May 2023 S2, 20 Apr 2026 S1, 19 May 2026 S1. All 3 questions below, oldest first.

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  1. Question 1

    2 May 2023 S2

    122
    The equation of the plane passing through the midpoint of the line segment joining P(1,2,5)P(1,2,5) and Q(3,4,3)Q(3,4,3) and perpendicular to it, is

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  2. Question 2

    20 Apr 2026 S1

    96
    If M denotes the midpoint of the line joining A(4,5,−10)A(4, 5, -10) and B(−1,2,1)B(-1, 2, 1), then the equation of the plane through M and perpendicular to AB is:

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  3. Question 3

    19 May 2026 S1

    93
    The equation of the plane that perpendicularly bisects the line segment joining the points A(2,−1,3)A(2, -1, 3) and B(3,1,0)B(3, 1, 0) is:

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