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Foot of the perpendicular from a given point to a given line

The same question, asked 3 times: 16 May 2023 S2*, 12 May 2026 S1*, 13 May 2026 S2. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    16 May 2023 S2

    140
    The co-ordinates of the foot of perpendicular, drawn from the point (−2,3)(-2,3) on the line 3x−y−1=03x-y-1=0 are

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  2. Question 2

    12 May 2026 S1

    59
    The coordinates of the foot of the perpendicular from the point (2,3)(2, 3) on the line x+y−11=0x + y - 11 = 0 are ...

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  3. Question 3

    13 May 2026 S2

    61
    The coordinates of the foot of the perpendicular from the point (2,3)(2, 3) on the line y=3x+4y = 3x + 4 is given by ...

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