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Class 11
Maths :-NCERT Solutions - Straight Lines.

Page No 233:
Question 10:
If three lines whose equations are
concurrent, then show that 


Answer:


The equations of the given lines are
y = m1x + c1 … (1)
y = m2x + c2 … (2)
y = m3x + c3 … (3)
On subtracting equation (1) from (2), we obtain

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

 is the point of intersection of lines (1) and (2).
It is given that lines (1), (2), and (3) are concurrent. Hence, the point of intersection of lines (1) and (2) will also satisfy equation (3).

Hence,


NCERT Maths Class 11

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