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Let the radius of the circle touching th...

Let the radius of the circle touching the parabola `y^(2)=x` at (1, 1) and having the directrix of `y^(2)=x` at `(1, 1)` and having the directrix of `y^(2)=x` as its normal is equal to `ksqrt5` units, then k is equal to

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