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

Asked by Anupama Ray | 27th Feb, 2011, 05:08: AM

Expert Answer:

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: 



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

We hope that clarifies your query.

Answered by  | 27th Feb, 2011, 01:28: PM

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