A) 1
B) 2
C) 5
D) None of these
Correct Answer: D
Solution :
Given, system of equations are \[2x+y-5=0\] ?(i) \[x-2y+1=0\] ?(ii) and \[2x-14y-a=0\] ?(iii) Since, this system is consistent \[\therefore \] \[\left| \begin{matrix} 2 & 1 & -5 \\ 1 & -2 & 1 \\ 2 & -14 & -a \\ \end{matrix} \right|=0\] \[\Rightarrow \]\[2\,(2a+14)-1(-a-2)-5(-14+4)=0\] \[\Rightarrow \] \[4a+28+a+2+50=0\] \[\Rightarrow \] \[5a=-\,80\] \[\Rightarrow \] \[a=-16\]You need to login to perform this action.
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