find the coordinates of the point dividing the line segment joining points A(1,6) and B (10,-12) in the ratio 4:5​

1 thought on “find the coordinates of the point dividing the line segment joining points A(1,6) and B (10,-12) in the ratio 4:5​”

1. Answer:

   Using the section formula, if a point (x,y) divides the line joining the points (x

   1

   ,y

   1

   ) and (x

   2

   ,y

   2

   ) in the ratio m:n, then

   (x,y)=(

   m+n

   mx

   2

   +nx

   1

   ,

   m+n

   my

   2

   +ny

   1

   )

   Let the points be A(5,−2) and B(9,6). Let a point P(x,y) divides AB in the ratio 3:1.

   Therefore, we have

   P(x,y)=(

   3+1

   3×9+1×5

   ,

   3+1

   3×6+1×(−2)

   )

   P(x,y)=(8,4)

   Hence, the required point is (8,4).

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