One vertex of a rectangular parallelopiped is at the origin O and the lengths of its edges along x, y and z axes are 3,4 and 5 units respectively. Let P be the vertex (3,4,5). Then the shortest distance between the diagonal OP and an edge parallel to z axis, not passing through O or P is:

Three Dimensional Geometry: JEE Main 2023 Mathematics question

JEE Main 2023 · 6 Apr, Morning shift · Q2520

JEE Main 20236 Apr, Morning shiftMathematicsHardThree Dimensional Geometry249× since 2002

One vertex of a rectangular parallelopiped is at the origin

\mathrm{O}

and the lengths of its edges along

x, y

and

z

axes are

3,4

and

5

units respectively. Let

\mathrm{P}

be the vertex

(3,4,5)

. Then the shortest distance between the diagonal OP and an edge parallel to

\mathrm{z}

axis, not passing through

\mathrm{O}

\mathrm{P}

is :

JEE Main 2023 Three Dimensional Geometry Question with Solution (6 Apr Morning shift, Q2520) | JEE Arc