A) \[{{a}^{3}}+{{b}^{3}}+{{c}^{3}}+3abc=0\]
B) \[{{a}^{3}}+{{b}^{3}}+{{c}^{3}}-abc=0\]
C) \[{{a}^{3}}+{{b}^{3}}+{{c}^{3}}-3abc=0\]
D) None of these
Correct Answer: C
Solution :
Here the given lines are \[ax+by+c=0\] .....(i) \[bx+cy+a=0\] .....(ii) \[cx+ay+b=0\] .....(iii) The lines will be concurrent, if \[\left| \,\begin{matrix} a & b & c \\ b & c & a \\ c & a & b \\ \end{matrix}\, \right|=0\] Þ \[{{a}^{3}}+{{b}^{3}}+{{c}^{3}}-3abc=0\].
You need to login to perform this action.
You will be redirected in
3 sec
