If the shortest distance between the lines … and … is …, then the sum of all possible value of … is :

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3d Geometry

JEE Main 2022 · 24 Jun, Evening shift · Q2504

MathematicsMedium249×since 2002Q2504

If the shortest distance between the lines

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

and

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

{1 \over {\sqrt 3 }}

, then the sum of all possible value of

\lambda

is :

JEE Main 2022 · 24 Jun, Evening shift · Q2504

MathematicsMedium249×since 2002Q2504

If the shortest distance between the lines

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

and

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

{1 \over {\sqrt 3 }}

, then the sum of all possible value of

\lambda

is :