Question:medium

A straight line passing through a point (3,2) cuts X and Y-axes at the points A and B respectively. If a point P divides AB in the ratio 2:3, then the equation of the locus of point P is

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When dealing with locus problems involving lines cutting axes, the intercept form of the line ($\frac{x}{a} + \frac{y}{b} = 1$) is often the most convenient starting point. Use the section formula to relate the coordinates of the moving point to the intercepts.

Updated On: Mar 30, 2026

$\frac{9}{x}+\frac{4}{y}=1$
$9x+4y=5xy$
$4x+9y=5xy$
$\frac{4}{x}+\frac{9}{y}=1$

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The Correct Option is C

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