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A circle with centre (3a,3b) and with v...

A circle with centre `(3a,3b)` and with variable radius cuts the hyperbola `x^(2)-y^(2)=36` at the points `A,B,C` and `D` . If the locus of the centroid of `Delta ABC` is `(x-k_(1)a)^(2)-(y-k_(2)b)^(2)=k_(3)`. then value of `k_1, k_2 and k_3`

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