If three lines whose equations are \( y=m_{1} x+c_{1}, y=m_{2} x \)...
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If three lines whose equations are \( y=m_{1} x+c_{1}, y=m_{2} x \) \( +c_{2} \) and \( y=m_{3} x+c_{3} \) are concurrent, then show that :
\[
m_{1}\left(c_{2}-c_{3}\right)+m_{2}\left(c_{3}-c_{1}\right)+m_{3}\left(c_{1}-c_{2}\right)=0 \text {. }
\]
\( \mathrm{P} \)
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