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If two points are A(x(1),y(1)) and B(x(2...

If two points are `A(x_(1),y_(1))` and `B(x_(2),y_(2))`, then the co-ordinates of the point `P`, which divides the line segment in the ratio `m_(1) : m_(2)` (internally), are given by :
`x=(m_(1)x_(2)+m_(2)x_(1))/(m_(1)+m_(2))`, `y=(m_(1)y_(2)+m_(2)y_(1))/(m_(1)+m_(2))`
Find the co-ordinates of the point `P`, which divides
`(i)` internally
`(ii)` externally
the line joining `(1,-3)` and `(-3,9)` in the ratio `1 : 3`.

Text Solution

Verified by Experts

The correct Answer is:
`(i)` `(0,0)`
`(ii) (3,-9)`
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