🛠️ JEE➗ Maths

One vertex of a rectangular parallelopiped is at the origin \(O\) and the lengths of its edges along \(x, y\) and \(z\) …

Q1

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 \(O P\) and an edge parallel to \(z\) axis, not passing through \(O\) or \(P\) is:

a

\(\frac{12}{\sqrt{5}}\)

b

\(\frac{12}{5 \sqrt{5}}\)

c

\(12 \sqrt{5}\)

d

\(\frac{12}{5}\)

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