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A variable triangle A B C is circumscrib...

A variable triangle `A B C` is circumscribed about a fixed circle of unit radius. Side `B C` always touches the circle at D and has fixed direction. If B and C vary in such a way that (BD) (CD)=2, then locus of vertex A will be a straight line. parallel to side BC perpendicular to side BC making an angle `(pi/6)` with BC making an angle `sin^(-1)(2/3)` with `B C`

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