Points A, B, C and D divide the line segment joining the points (5, -10) and the origin in five equal parts. Find the co-ordinates of B and D.
Section Formula
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Question

Points A, B, C and D divide the line segment joining the points (5, -10) and the origin in five equal parts. Find the co-ordinates of B and D.

KnowledgeBoat · Accepted Answer

Let point P = (5, -10) and origin (O) = (0, 0). Points A, B, C and D divide the line segment PO in 5 equal parts. From figure, B divides the line segment PO in the ratio 2 : 3. Let B be (a, b). By formula, Substituting values we get, Substituting values we get, B = (a, b) = (3, -6). D divides the line segment PO in the ratio 4 : 1. Let D be (c, d). By formula, Substituting values we get, Substituting values we get, D = (c, d) = (1, -2). Hence, B = (3, -6) and D = (1, -2).

Mathematics

Points A, B, C and D divide the line segment joining the points (5, -10) and the origin in five equal parts. Find the co-ordinates of B and D.

Section Formula

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