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Line through a given point whose intercepts satisfy a given relation

This type of question, asked 2 times: 11 May 2024 S1, 16 Apr 2026 S1. All 2 questions below, oldest first.

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  1. Question 1

    11 May 2024 S1

    145
    a and b are the intercepts made by a line on the coordinate axes. If 3a=b3a = b and the line passes through (1,3)(1,3), then the equation of the line is

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  2. Question 2

    16 Apr 2026 S1

    56
    The number of lines passing through A (3, 4) and the sum of whose non-zero intercepts is zero is (are)

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