Question

A point P moves so that P and the points (2,2) and (1,5) are always collinear. Find the locus of P

Answer 1

(x,y) and give values (2,2) , (1,5), with the point are collinear -> area of triangle =0 .

by applying the values in the given equation you get -3x=10-2y-y-2, -3x-y+8=0, 3x=y=8,

hence the locus of p is 3x+y=8 is right answer , hence student can get right procedure to solve such the answer in a fine manner.