three points p(h,k) q(x1,y1) and r(x2,y2) lie on a line. show that (h-x1) (y2-y1)= (k-y1) (x2-x1) Share with your friends Share 1 Lovina Kansal answered this Dear student Since the points P,Q and R lie on a line i.e, are collinear, therefore,Slope of PQ=Slope of QRy1-kx1-h=y2-y1x2-x1k-y1h-x1=y2-y1x2-x1Cross multiplying, we haveh-x1y2-y1=k-y1x2-x1 Regards 5 View Full Answer Rohit Jain answered this If a(x1,y1),b(x2,y2),c(x3,y3) are collinear then slope of ab=slope of bc i.e. y2-y1/x2-x1=y3-y2/x3-x2 p,q,r are collinear then k-y1/h-x1=y2-y1/x2-x1 (h-x1)(y2-y1)=(k-y1)(x2-x1) Hence Proved 0 Liam Fernandes answered this Rohit Jains ans is lit follow his -1