Points on a given line at a given distance from another line
This type of question, asked 3 times: 12 May 2024 S1, 13 May 2026 S2, 15 May 2026 S1. All 3 questions below, oldest first.
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Question 1
12 May 2024 S1
114The co-ordinates of the points on the line 2x−y=5 which are the distance of 1 unit from the line 3x+4y=5 are
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Question 2
13 May 2026 S2
59The points on the line x+y−4=0 which are at one unit distance from the line 4x+3y−10=0 are...
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Question 3
15 May 2026 S1
56The sum of the ordinates of the points on the line 4x+3y=10 whose distance from the line x+y−4=0 is 2 is equal to ...
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