Find the distance between the points (at...

Find the distance between the points `(at_(1)^(2), 2 at_(1))` and `(at_(2)^(2), 2 at_(2))`, where `t_(1)` and `t_(2)` are the roots of the equation `x^(2)-2sqrt(3)x+2=0` and `a gt 0`.

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The correct Answer is:

8a

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