16:I[8216,["972","static/chunks/972-b28da0de92681928.js","47","static/chunks/47-a7f06e9eda1ac756.js","115","static/chunks/app/%5Bexam%5D/questions/%5Byear%5D/%5Bsubject%5D/%5Bchapter%5D/%5BquestionId%5D/page-7b6f0a12b9cc0206.js"],"BackButton"] 17:I[1553,["972","static/chunks/972-b28da0de92681928.js","47","static/chunks/47-a7f06e9eda1ac756.js","115","static/chunks/app/%5Bexam%5D/questions/%5Byear%5D/%5Bsubject%5D/%5Bchapter%5D/%5BquestionId%5D/page-7b6f0a12b9cc0206.js"],"QuestionViewer"] 15:T481,{"@context":"https://schema.org","@type":"Quiz","name":"Ts Eamcet 2024 Circle PYQ with Solution","url":"https://pyq-test-series-platform-alsjdcxu2-sameers-projects-41c5a71e.vercel.app/ts-eamcet/questions/2024/mathematics/circle/m60cfsu4","educationalLevel":"Entrance exam preparation","about":"Ts Eamcet / Mathematics / Circle","hasPart":{"@type":"Question","name":"Ts Eamcet 2024 Circle PYQ with Solution","text":"The slope of a common tangent to the circles x^2+y^2-4 x-8 y+16=0 and x^2+y^2-6 x-16 y+64=0 is","eduQuestionType":"mcq","acceptedAnswer":{"@type":"Answer","text":"B"},"comment":{"@type":"Comment","text":"Given equation \\begin{array}{l} x^{2}+y^{2}-4 x-8 y+16=0 \\text { and } \\\\\\\\ x^{2}+y^{2}-6 x-16 y+64=0 \\text { can be } \\end{array} written as S_{1} \\equiv(x-2)^{2}+(y-4)^{2}=2^{2} \\Rightarrow \\quad Centre \\equiv(2,4) and Radius =2 S_{2} \\equiv(x-3)^{2}+(y-8)^{2}=3^{2} \\Rightarrow \\quad Centre \\equiv(3,8) and Radius =3 Equation of tangent to S_{1} \\begin{array}{l} \\Rightarrow \\quad(y-4)=m(x-2)+2 \\sqrt{1+m^{2}} \\\\\\\\ \\Rightarrow \\quad y-m x=4-2 m+2 \\sqrt{1+m^{2}} . . \\end{array} Equation of tangen..."}}}18:T463,

Given equation

$ \begin{array}{l} x^{2}+y^{2}-4 x-8 y+16=0 \text { and } \\\\ x^{2}+y^{2}-6 x-16 y+64=0 \text { can be } \end{array} $

written as

$ S_{1} \equiv(x-2)^{2}+(y-4)^{2}=2^{2} $

$ \Rightarrow \quad $ Centre $ \equiv(2,4) $ and Radius $ =2 $

$ S_{2} \equiv(x-3)^{2}+(y-8)^{2}=3^{2} $

$ \Rightarrow \quad $ Centre $ \equiv(3,8) $ and

Circle

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