Geo4.58

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Find the midpoint of the chord 3x-y-1=0\, with respect to the circle x^{2}+y^{2}-4x+6y+1=0\,

From the given line

l=3,m=-1,n=-1\,

Mid point is

\left(-{\frac  {ln}{l^{2}+m^{2}}},-{\frac  {mn}{l^{2}+m^{2}}}\right)\,

\left(-{\frac  {-3}{10}},-{\frac  {1}{10}}\right)\,

\left({\frac  {3}{10}},-{\frac  {1}{10}}\right)\,


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