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CBSE Class 11-commerce Answered

Find the equation of the circle which touches the circle x^2 +y^2-6x+6y+17=0 externally and to which the lines x^2-3xy-3x+9y=0 are normals. 
Asked by Payal | 12 Jan, 2018, 05:19: PM
answered-by-expert Expert Answer
begin mathsize 16px style Find space the space centre space and space radius space of space given space circle
let space left parenthesis straight h comma straight k right parenthesis space be space the space centre space of space required space circle
now space this space point space will space satisfy space the space given space normal........ left parenthesis 1 right parenthesis
find space the space line space passing space thru space left parenthesis straight h comma straight k right parenthesis space and space center space of space given space circle...... left parenthesis 2 right parenthesis
solve space left parenthesis 1 right parenthesis space & left parenthesis 2 right parenthesis space you space will space get space straight h space and space straight k space
find space radius space using space distance space between space centers space as space sum space of space radius end style
Answered by Arun | 19 Jan, 2018, 05:01: PM

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