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3D Geometry question

2023 · 6 Apr · Shift 1 · Q26

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PYQ Library
JEE Main
Mathematics
3D Geometry
2023 · 6 Apr · Shift 1 · Q26

3D Geometry question

2023 · 6 Apr · Shift 1 · Q26

JEE MainMathematics3D GeometryMCQ+4 / −1

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}

or

\mathrm{P}

is :

A
$\frac{12}{\sqrt{5}}$
B
$12 \sqrt{5}$
C
$\frac{12}{5}$
D
$\frac{12}{5 \sqrt{5}}$

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