If the lines x + q = 0,y - 2 = 0,and 3x + 2y | vedclass

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(C) Three lines $a_1x + b_1y + c_1 = 0$,$a_2x + b_2y + c_2 = 0$,and $a_3x + b_3y + c_3 = 0$ are concurrent if the determinant of their coefficients is

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$3$

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(C) Three lines $a_1x + b_1y + c_1 = 0$,$a_2x + b_2y + c_2 = 0$,and $a_3x + b_3y + c_3 = 0$ are concurrent if the determinant of their coefficients is zero:$\begin{vmatrix} a_1 & b_1 & c_1 \ a_2 & b_2 & c_2 \ a_3 & b_3 & c_3 \end{vmatrix} = 0$Substituting the given coefficients:$\begin{vmatrix} 1 & 0 & q \ 0 & 1 & -2 \ 3 & 2 & 5 \end{vmatrix} = 0$Expanding along the first row:$1(1 	imes 5 - (-2) 	imes 2) - 0 + q(0 	imes 2 - 1 	imes 3) = 0$$1(5 + 4) + q(-3) = 0$$9 - 3q = 0$$3q = 9$$q = 3$

If the lines $x + q = 0$,$y - 2 = 0$,and $3x + 2y + 5 = 0$ are concurrent,then the value of $q$ is:

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