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MHT CET 2025 Mathematics question

MathematicsStraight LinesMHT CET 2025

A line passes through 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 : 2, then the equation of the line is

Answer: (A)

Solution

Let A be on the x-axis, , and B on the y-axis, . P divides AB in the ratio , so . Equate with : and . The intercept form gives

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Question ID VK-102880