The ratio in which the Y-axis divides the line segment joining the points (2, 1) and (−3, −5) is ______.

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The ratio in which the Y-axis divides the line segment joining the points (2, 1) and (−3, −5) is 2 : 3. Explanation: The y-axis intersects the segment AB [A (2, 1), B (−3, −5)] at x = 0, Parametrically, x = 2 − 5t = 0 t = $\frac{2}{5}$ So, AP : PB = $\frac{2}{5}$ : $\frac{3}{5}$ $\therefore$ AP : PB = 2 : 3 Hence, the y-axis divides the segment internally in the ratio 2 : 3.

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