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CBSE Class 11-science Answered

 Find the equations of the medians of a triangle whose sides are given by the equations 3x + 2y + 6 = 0 , 2x - 5y + 4=0 x - 3y - 6 =0
Asked by haroonrashidgkp | 16 Jan, 2018, 01:41: PM
answered-by-expert Expert Answer
begin mathsize 16px style 3 straight x plus 2 straight y plus 6 equals 0 space and space 2 straight x minus 5 straight y plus 4 equals 0 space rightwards double arrow straight x equals negative 2 space and space straight y equals 0
straight x minus 3 straight y minus 6 equals 0 space and space 2 straight x minus 5 straight y plus 4 equals 0 space rightwards double arrow straight x equals negative 42 space and space straight y equals negative 16
3 straight x plus 2 straight y plus 6 equals 0 space and space straight x minus 3 straight y minus 6 equals 0 space rightwards double arrow straight x equals fraction numerator negative 6 over denominator 11 end fraction space and space straight y equals negative 24
Now space you space can space find space out space mid space points space of space the space all space sides space and space then space equations space
of space the space medians space using space two minus point space form space of space equation.
fraction numerator straight y minus straight y subscript 1 over denominator straight x minus straight x subscript 1 end fraction equals fraction numerator straight y subscript 2 minus straight y subscript 1 over denominator straight x subscript 2 minus straight x subscript 1 end fraction end style
Answered by Sneha shidid | 16 Jan, 2018, 03:47: PM

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