If point C(x3,y3) divides the line PQ, where P(x1,y1), Q(x2,y2) externally in the ratio p:q, it means, that:
x3=(px2−qx1)/(p−q)x3=(px2-qx1)/(p-q)x3=(px2−qx1)/(p−q)
y3=(py2−qy1)/(p−q)y3=(py2-qy1)/(p-q)y3=(py2−qy1)/(p−q)
In the case where P(2,1) and Q(3,5) we have:
x3=(3p−2q)/(p−q)x3=(3p-2q)/(p-q)x3=(3p−2q)/(p−q)
y3=(5p−q)/(p−q)y3=(5p-q)/(p-q)y3=(5p−q)/(p−q)
So, the coordinate of the point C is ((3p-2q)/(p-q),(5p-q)/(p-q)).
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