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A variable triangle ABC is circumscribed...

A variable triangle ABC is circumscribed about a fixed circle of unit radius. Side BC 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

A

(a)parallel to side BC

B

(b)right angle to side BC

C

(c)making and angle `pi/6` with BC

D

(d)making an angle `sin ^(-1)((2)/(3))` with BC

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