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.

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).

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P is a point on the line joining A (4, 3) and B (-2, 6) such that 5AP = 2BP. Find the co-ordinates of P.

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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.

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Related Questions

In what ratio is the join of (4, 3) and (2, -6) divided by the x-axis. Also, find the co-ordinates of the point of intersection.

Find the ratio in which the join of (-4, 7) and (3, 0) is divided by the y-axis. Also, find the co-ordinates of the point of intersection.

P is a point on the line joining A (4, 3) and B (-2, 6) such that 5AP = 2BP. Find the co-ordinates of P.