PYQ Vault

Line through a point that divides its intercepted segment in a given ratio (or is its midpoint)

This type of question, asked 4 times: 25 Apr 2025 S1, 13 Apr 2026 S2, 14 May 2026 S1, 14 May 2026 S2. All 4 questions below, oldest first.

Try each one first, then open its answer.

  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

    Tap an option to check your answer.

  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...

    Tap an option to check your answer.

  3. Question 3

    14 May 2026 S1

    57
    If P(a,b)P(a, b) is the midpoint of a line segment intercepted between the coordinate axes, then the equation of the line is

    Tap an option to check your answer.

  4. Question 4

    14 May 2026 S2

    59
    If P(2,7)P(2, 7) is the mid-point of a line segment intercepted between the co-ordinate axes, then the equation of line is

    Tap an option to check your answer.