The lines (x - 2)/1 = (y - 3)/1 = (z - 4)/(- k) and (x - 1)/k = (y - 4)/2 = (z - 5)/1 are coplanar if:

Three Dimensional Geometry: JEE Main 2003 Mathematics question

JEE Main 2003 · Annual, Paper 1 · Q2476

JEE Main 2003Annual, Paper 1MathematicsMediumThree Dimensional Geometry249× since 2002

The lines

{{x - 2} \over 1} = {{y - 3} \over 1} = {{z - 4} \over { - k}}

and

{{x - 1} \over k} = {{y - 4} \over 2} = {{z - 5} \over 1}

are coplanar if :

JEE Main 2003 · Annual, Paper 1 · Q2476

JEE Main 2003Annual, Paper 1MathematicsMediumThree Dimensional Geometry249× since 2002

The lines

{{x - 2} \over 1} = {{y - 3} \over 1} = {{z - 4} \over { - k}}

and

{{x - 1} \over k} = {{y - 4} \over 2} = {{z - 5} \over 1}

are coplanar if :