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.
Question 1
25 Apr 2025 S1
141A line passes through and meets the co-ordinate axes at points A and B . If P divides the segment AB internally in the ratio , then the equation of the line isTap an option to check your answer.
Question 2
13 Apr 2026 S2
56The equation of the straight line passing through the point such that the portion of the line intercepted between the axes is divided by the point in the ratio (from the X-axis to the Y-axis) is...Tap an option to check your answer.
Question 3
14 May 2026 S1
57If is the midpoint of a line segment intercepted between the coordinate axes, then the equation of the line isTap an option to check your answer.
Question 4
14 May 2026 S2
59If is the mid-point of a line segment intercepted between the co-ordinate axes, then the equation of line isTap an option to check your answer.