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Line joining two points is parallel to the line joining two other points: find the unknowns

This type of question, asked 2 times: 16 Apr 2026 S2, 20 Apr 2026 S2. All 2 questions below, oldest first.

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  1. Question 1

    16 Apr 2026 S2

    96
    The values of p and q so that the line joining the points (7, p, 2) and (q, -2, 5) may be parallel to the line joining the points (2, -3, 5) and (-6, -15, 11) are

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  2. Question 2

    20 Apr 2026 S2

    94
    If the line joining points (2,1,4)(2, 1, 4) and (a−1,4,−1)(a - 1, 4, -1) is parallel to the line joining points (0,2,b−1)(0, 2, b - 1) and (5,3,−2)(5, 3, -2) then the values of bb and aa are respectively

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