If \(x+y=3\) is tangent at \((2,1)\) on hyperbola, intersects asymptotes at \(A\) and \(B\....

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 If \(x+y=3\) is tangent at \((2,1)\) on hyperbola, intersects asymptotes at \(A\) and \(B\) such that \(A B=8 \sqrt{2}\). If centre of hyperbola is \((-1,-1)\), then least possible value of sum of semi-transverse axis and semi-conjugate axis is \(p \sqrt{q}\), where \(\operatorname{HCF}(p, q)=1\) and \(\sqrt{q}\) is irrational number. Then, \((p+q)\) is equal to 📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live




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