The number of distinct real values of λ for which the lines (x - 1)/1 = (y - 2)/2 = (z + 3)/(λ ²) and (x - 3)/1 = (y - 2)/(λ ²) = (z - 1)/2 are coplanar is:

Three Dimensional Geometry: JEE Main 2016 Mathematics question

JEE Main 2016 · 10 Apr, Morning shift · Q2398

JEE Main 201610 Apr, Morning shiftMathematicsMediumThree Dimensional Geometry249× since 2002

The number of distinct real values of

\lambda

for which the lines

{{x - 1} \over 1} = {{y - 2} \over 2} = {{z + 3} \over {{\lambda ^2}}}

and

{{x - 3} \over 1} = {{y - 2} \over {{\lambda ^2}}} = {{z - 1} \over 2}

are coplanar is :

JEE Main 2016 · 10 Apr, Morning shift · Q2398

JEE Main 201610 Apr, Morning shiftMathematicsMediumThree Dimensional Geometry249× since 2002

The number of distinct real values of

\lambda

for which the lines

{{x - 1} \over 1} = {{y - 2} \over 2} = {{z + 3} \over {{\lambda ^2}}}

and

{{x - 3} \over 1} = {{y - 2} \over {{\lambda ^2}}} = {{z - 1} \over 2}

are coplanar is :