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A right angle triangle ABC, right angle ...

A right angle triangle ABC, right angle at A is inscribed in hyperbola `xy=c^(2) (c>0)` such that slope of BC is 2. If distance of point A from centre of `xy=c^(2)` is `sqrt(10)` ,then which of the following is/are correct for `xy=c^(2)`
(A) the value of c is 2
(B) the value of c is 4
(C) the equation of normal at point A can be `y = 2x − 3sqrt(2)`
(D) the equation of normal at point A can be `y = 3x + 8sqrt(2)`

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