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Let P be a point on the hyperbola x^2-y^...

Let `P` be a point on the hyperbola `x^2-y^2=a^2,` where `a` is a parameter, such that `P` is nearest to the line `y=2xdot` Find the locus of `Pdot`.

A

`y = 2x`

B

`2y = x `

C

`y = x `

D

`y + x = 0`

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