Question
Sun February 27, 2011 By: Anupama Ray

The condition that the point (x,y) may lie on the line joining (3,4) and (-5,-6) is (a) 5x-4y+1=0 (b) 5x+4y+1=0 (c) -5x+4y+1=0 (d) -5x-4y+1=0

Expert Reply
Sun February 27, 2011
Dear student,
 

Since the point P(x,y) lies on the line joining A(3,4) and B(-5,-6), 

Therefore, points P, A and B are collinear points.

So, area of triangle PAB = 0                                         

Therefore, we have: 

10x-18-3y-5y+20=0

10x-8y+2=0

5x-4y+1=0 , which is the required condition. 

We hope that clarifies your query.
 
Regards,
Team
TopperLearning
Related Questions
Tue February 14, 2017

Fri January 27, 2017

1/a+b+x=1/a +1/b +1/x

Ask the Expert