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Tangents are drawn from any point on the...

Tangents are drawn from any point on the hyperbola `(x^(2))/(9)-(y^(2))/(4)=1` to the circle `x^(2)+y^(2)=9` .If the locus of the mid-point of the chord of contact is a `a(x^(2)+y^(2))^(2)=bx^(2)-cy^(2)` then the value of `(a^(2)+b^(2)+c^(2))/(7873)`

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