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Plane through two points parallel to a coordinate axis

This type of question, asked 3 times: May 2022 S1, 10 May 2023 S1, 18 Apr 2026 S2. All 3 questions below, oldest first.

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  1. Question 1

    May 2022 S1

    148
    The equation of the plane passing through the points (2,3,1)(2,3,1), (4,−5,3)(4,-5,3) and parallel to X-axis is

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  2. Question 2

    10 May 2023 S1

    119
    Equation of the plane, through the points (−1,2,−2)(-1,2,-2) and (−1,3,2)(-1,3,2) and perpendicular to yzyz-plane, is

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  3. Question 3

    18 Apr 2026 S2

    94
    If the equation of a plane passing through A(1,p,2),B(3,2,4)A(1, p, 2), B(3, 2, 4) and parallel to the z axis, is 3x−2y−q=03x - 2y - q = 0, then …\ldots

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