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Points on one line at a distance of 1 unit from another line

The same question, asked 2 times: 12 May 2024 S1*, 13 May 2026 S2. Every wording below, oldest first.

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  1. Question 1

    12 May 2024 S1

    114
    The co-ordinates of the points on the line 2x−y=52x-y=5 which are the distance of 1 unit from the line 3x+4y=53x+4y=5 are

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  2. Question 2

    13 May 2026 S2

    59
    The points on the line x+y−4=0x + y - 4 = 0 which are at one unit distance from the line 4x+3y−10=04x + 3y - 10 = 0 are...

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