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C is the center of the hyperbola (x^2)/(...

`C` is the center of the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1` The tangent at any point `P` on this hyperbola meet the straight lines `b x-a y=0` and `b x+a y=0` at points `Qa n dR` , respectively. Then prove that `C QdotC R=a^2+b^2dot`

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