Answer :

Given:


p1x + q1y = 1


p2x + q2y = 1


p3x + q3y = 1


To prove:


The points (p1, q1), (p2, q2) and (p3, q3) are collinear.


Concept Used:


If three lines are concurrent then determinant of equation is zero.


Explanation:


The given lines can be written as follows:


p1 x + q1 y – 1 = 0 … (1)


p2 x + q2 y – 1 = 0 … (2)


p3 x + q3 y – 1 = 0 … (3)


It is given that the three lines are concurrent.





Hence proved, This is the condition for the collinearity of the three points, (p1, q1), (p2, q2) and (p3, q3).


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