Q. 103.5( 58 Votes )

If three li

Answer :

The equation of the given lines are


y = m1x + c1 ---------(1)


y = m2x + c2 ---------(2)


y = m3x + c3 ---------(3)


On subtracting equation (1) from (2), we get,


0 = (m2 - m1)x + (c2 – c1)


(m2 - m1)x = (c2 – c1)


x =


On substituting this value of x in (1), we get,






Thus,


is the point of intersection of lines (1) and (2).


It is given that lines (1), (2) and (3) are concurrent.


Thus, the point of intersection of lines (1) and (2) will also satisfy equation (3).






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