If the given lines \[y={{m}_{1}}x+{{c}_{1}},y={{m}_{2}}x+{{c}_{2}}\] and \[y={{m}_{3}}x+{{c}_{3}}\] be concurrent, then

\[{{m}_{1}}({{c}_{2}}-{{c}_{1}})+{{m}_{2}}({{c}_{3}}-{{c}_{2}})+{{m}_{3}}({{c}_{1}}-{{c}_{3}})=0\]

\[{{m}_{1}}({{c}_{2}}-{{c}_{3}})+{{m}_{2}}({{c}_{3}}-{{c}_{1}})+{{m}_{3}}({{c}_{1}}-{{c}_{2}})=0\]

\[{{c}_{1}}({{m}_{2}}-{{m}_{3}})+{{c}_{2}}({{m}_{3}}-{{m}_{1}})+{{c}_{3}}({{m}_{1}}-{{m}_{2}})=0\]

If the given lines \[y={{m}_{1}}x+{{c}_{1}},y={{m}_{2}}x+{{c}_{2}}\] a

1.	If the given lines \[y={{m}_{1}}x+{{c}_{1}},y={{m}_{2}}x+{{c}_{2}}\] and \[y={{m}_{3}}x+{{c}_{3}}\] be concurrent, then
A.	\[{{m}_{1}}({{c}_{2}}-{{c}_{3}})+{{m}_{2}}({{c}_{3}}-{{c}_{1}})+{{m}_{3}}({{c}_{1}}-{{c}_{2}})=0\]
B.	\[{{m}_{1}}({{c}_{2}}-{{c}_{1}})+{{m}_{2}}({{c}_{3}}-{{c}_{2}})+{{m}_{3}}({{c}_{1}}-{{c}_{3}})=0\]
C.	\[{{c}_{1}}({{m}_{2}}-{{m}_{3}})+{{c}_{2}}({{m}_{3}}-{{m}_{1}})+{{c}_{3}}({{m}_{1}}-{{m}_{2}})=0\]
D.	None of these
Answer» B. \[{{m}_{1}}({{c}_{2}}-{{c}_{1}})+{{m}_{2}}({{c}_{3}}-{{c}_{2}})+{{m}_{3}}({{c}_{1}}-{{c}_{3}})=0\]

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If the given lines \[y={{m}_{1}}x+{{c}_{1}},y={{m}_{2}}x+{{c}_{2}}\] and \[y={{m}_{3}}x+{{c}_{3}}\] be concurrent, then

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