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Line through a point that divides its intercepted segment in a given ratio

The same question, asked 2 times: 25 Apr 2025 S1*, 13 Apr 2026 S2. Every wording below, oldest first.

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  1. Question 1

    25 Apr 2025 S1

    141
    A line passes through P(−4,1)P( - 4,1) and meets the co-ordinate axes at points A and B . If P divides the segment AB internally in the ratio 1:21:2, then the equation of the line is

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  2. Question 2

    13 Apr 2026 S2

    56
    The equation of the straight line passing through the point (−5,3)(-5, 3) such that the portion of the line intercepted between the axes is divided by the point in the ratio 4:34 : 3 (from the X-axis to the Y-axis) is...

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