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In triangle ABC if y=x+1 & y=2x+3 are altitude through A and angle bisector of B respectively. If vertex C-=(3,4) then equation of median through C is

Answer»

`x+7y=25`
`7x+2y=25`
`2x+y=25`
`2x+7y=25`

Solution :Equation of `BC` is `x+y=7` so `B=(4/3, 17/3)`
LET slope of `AB` is `m` so,
`|(m-2)/(1+2m)|=|(2+1)/(1-2)|`

`m=-1/7`
So equation of `AB` is `3x+21y-123=0`
So `A-=(17/4, 21/4)` mid-point of `AB=(67/24, 131/24)`
Equation of MEDIUM though `C` is `7x+y=25`


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