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18. Find the co-ordinate oi a point P on the line segmeut joining A(l, 2) and B (6, 7) such thal APAB

Answer»

P is on AB such that AP = 2/5 * ABAP/AB = 2/5AP/AB = 2/5by compodendo-dividendo, AP/(AB-AP) = 2/(5-2)OR AP/PB = 2/3.This means that P divides AB in the ratio 2:3.Hence, P has co-ordinates as follows:Abscissa (2*6 + 3*1) / (3+2) = 3Ordinaate (2*7 + 3*2) / (3+2) = 4Hence,P(3,4)is the point.



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