If the straight lines (x - 1)/k = (y - 2)/2 = (z - 3)/3 and (x - 2)/3 = (y - 3)/k = (z - 1)/2 intersects at a point, then the integer k is equal to

Three Dimensional Geometry: JEE Main 2008 Mathematics question

JEE Main 2008 · Annual, Paper 1 · Q2482

JEE Main 2008Annual, Paper 1MathematicsMediumThree Dimensional Geometry249× since 2002

If the straight lines

\,\,\,\,\,

\,\,\,\,\,

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

\,\,\,\,\,

and

\,\,\,\,\,

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

intersects at a point, then the integer

k

is equal to

JEE Main 2008 · Annual, Paper 1 · Q2482

JEE Main 2008Annual, Paper 1MathematicsMediumThree Dimensional Geometry249× since 2002

If the straight lines

\,\,\,\,\,

\,\,\,\,\,

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

\,\,\,\,\,

and

\,\,\,\,\,

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

intersects at a point, then the integer

k

is equal to