jee-main 2019 Q78

jee-main · India · session2_08apr_shift2 Straight Lines & Coordinate Geometry Line Equation and Parametric Representation

If the system of linear equations $$\begin{aligned} & x - 2 y + k z = 1 \\ & 2 x + y + z = 2 \\ & 3 x - y - k z = 3 \end{aligned}$$ has a solution $( x , y , z )$, $z \neq 0$, then $( x , y )$ lies on the straight line whose equation is:
(1) $4 x - 3 y - 4 = 0$
(2) $3 x - 4 y - 4 = 0$
(3) $3 x - 4 y - 1 = 0$
(4) $4 x - 3 y - 1 = 0$

If the system of linear equations
$$\begin{aligned}
& x - 2 y + k z = 1 \\
& 2 x + y + z = 2 \\
& 3 x - y - k z = 3
\end{aligned}$$
has a solution $( x , y , z )$, $z \neq 0$, then $( x , y )$ lies on the straight line whose equation is:\\
(1) $4 x - 3 y - 4 = 0$\\
(2) $3 x - 4 y - 4 = 0$\\
(3) $3 x - 4 y - 1 = 0$\\
(4) $4 x - 3 y - 1 = 0$

Paper Questions

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