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If three lines whose equations are `y=m_1x+c_1,y=m_2x+c_2`and `y=m_3x+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`.

A

`m _(1) (c_(2) -c_(3)) +m_(2) (c_(3) -c_(1))+m_(3) (c_(1) -c_(2)) =0`

B

`m _(1) (c_(2)-c_(2))+m_(2) (c_(3) -c_(2))+m_(3) (c_(1) -c_(3)) =0`

C

`c _(1) (m_(1)-m_(2)) +c_(2)(m_(2) -m_(3))+c_(3) (m_(3) -m_(1))=0`

D

`c_(1) (m_(1)-m_(2)) +c_(2) (m_(2) -m_(3))+ c_(3) (m_(3)-m_(1))=0`

Text Solution

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The correct Answer is:
A
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