If A = (6, – 1), B = (X, Y) and P = (–2, 3) are
lie on the straight line and AP : PB = 3 : 2,
then the coordinate of (X, Y) is -

• the co-ordinate of the points dividing the join of p(x1,y1) and q(x2,y2) internally in the ratio m:n=((m*x2+n*x1)/(m+n) , (my2+ny1)/(m+n))
  A(6,-1),P(-2,3), B(X,Y) & M:N=3:2
  3*X+12/5 = -2
  => X=-22/7
  AND
  3*Y-2/5=3
  =>Y=17/3
  
• 10 years agoHelpfull: Yes(0) No(0)