Shortest distance between two parabolas ...

Shortest distance between two parabolas `y^2 = x - 2` and ` x^2 = y-2` is : (A) `1/(4sqrt(2))` (B) `5/(4sqrt(2))` (C) `7/(2sqrt(2))` (D) `6/(7sqrt(2))`

Verified by Experts

`y^2=x-2`
`x^2-y-2`
`m_1m_2=-1`
`m_2=-1`
`y^2=x-2`
after differentiation with respect to x
`2yy'=1`
`y'=1/(2y)=1`
...

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