In what ratio is the line joining the points (4, 2) and (3, -5) divided by the x-axis? Also find the coordinates of the point of division.
Section Formula
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Question

In what ratio is the line joining the points (4, 2) and (3, -5) divided by the x-axis? Also find the coordinates of the point of division.

KnowledgeBoat · Accepted Answer

Let the point P which is on the x-axis, divide the line segment joining the points A(4, 2) and B(3, -5) in the ratio of m : n. Let the coordinates of P be (x, 0). By section formula, y-coordinate = Putting value of m : n in section-formula for x-coordinate, x-coordinate = Hence, coordinates of P are and 2 : 5 is the ratio in which the line joining the points (4, 2) and (3, -5) is divided by the x-axis.

Mathematics

In what ratio is the line joining the points (4, 2) and (3, -5) divided by the x-axis? Also find the coordinates of the point of division.

Section Formula

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