CUET and UG exam CUET UG 2025 Mock Test Series Mathematics Three Dimensional Geometry Coplanar Lines
If the lines \(\rm {x -x_1\over a}={y-y_1\over b}={z-z_1\over c}\) and \(\rm {x -x_2\over p}={y-y_2\over q}={z-z_2\over r}\) are lies on a plane, then
1
\(\begin{vmatrix} x_1& y_1& z_1\\ a& b &c \\ p& q &r \end{vmatrix} = 0\)
2
\(\begin{vmatrix} x_2-x_1& y_2-y_1 & z_2-z_1\\ a& b &c \\ p& q &r \end{vmatrix} = 0\)
3
\(\begin{vmatrix} x_1-x_2& y_1-y_2 & z_1-z_2\\ a& b &c \\ p& q &r \end{vmatrix} = 1\)
4
None of these