Answer :

Let P divide AB internally in the ratio m:n.

Using the section formula,


Internal section formula, the coordinates of point P divides the line segment joining the point (x1, y1), (x2, y2) in the ratio m1:m2 internally is



We get;



On equating,


We get;





And





3m + 3n = 8m – 2n


5n – 5m = 0


n = m


And, 5m + 5n = - 60 + 18n


65m – 13n = 0


13(5m – n) = 0


5m – n = 0


Since,


m = n does not satisfy.


5m - n = 0


5m = n



Hence, the required ratio is 1:5.


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