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Points A, B, C and D divide the line seg...

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

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Let `O(0,0)` is the origin and `E(5,-10)` is the final point.
Then, `OA = AB = BC = CD = DE`
It means `B` divides line joining points `O` and `E` in the ratio `2:3`.
`:.` Coordinates of `B` are `=((2*5)/(2+3),(2*(-10))/(2+3)) = (2,-4).`
Now, `D` divides line joining points `O` and `E` in the ratio `4:1`.
`:.` Coordinates of `D` are `=((4*5)/(4+1),((4*(-10)))/(4+1)) = (4,-8).`
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