Q3 of 184 Page 10

If p divides the join of A (-2,-2) and B (2,-4) such that , find the coordinates of P.


Given:





⇒ 7AP = 3AP + 3PB


⇒ 7AP – 3AP = 3PB


⇒ 4AP = 3PB



Hence, the point P divides AB in the ratio of 3:4


⇒ m1 = 3 and m2 = 4


and (x1, y1) = (-2, -2) ; (x2, y2) = (2, -4)


Using the section formula for the internal division, i.e.


…(i)





Hence, the coordinates of P are


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