Geo4.60

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Find the mid point of the chord of the circle x^{2}+y^{2}+4x+6y+2=0\, intercepted by the line 3x+5y=13\,

From the given line

l=3,m=5,n=-13\,

Mid point of the chord is

\left(-{\frac  {-39}{3^{2}+5^{2}}},-{\frac  {-65}{3^{2}+5^{2}}}\right)\,

\left({\frac  {39}{34}},{\frac  {65}{34}}\right)\,

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