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If three lines whose equations are {y}={m}_{{1}}{x}+{c}_{{1}},

Question

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 $m_{1} (c_{2} - c_{3}) + m_{2} (c_{3} - c_{1}) + m_{3} (c_{1} - c_{2}) = 0$ .

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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} (c_{2} - c_{3}) + m_{2} (c_{3} - c_{1}) + m_{3} (c_{1} - c_{2}) = 0

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Question Text

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} (c_{2} - c_{3}) + m_{2} (c_{3} - c_{1}) + m_{3} (c_{1} - c_{2}) = 0

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