Answer :

A point P(x,y) divides the line formed by points (a,b) and (c,d) in the ratio of m:n, then the coordinates of the point P is given by


In the given question,

Let the point T divide the line PQ in the ratio m:n

Here x = -1 and y = 6


.... (2)

Simplifying (1) we get,

-m-n = -3n + 6m

2n = 7m

Simplifying (2) we get,

6m + 6n = 10n-8m

14m = 4n

From both we get

Hence the point T divides PQ in the ratio 2:7

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