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A line is such that its segment between the lines `5x-y+4=0` and `3x+4y-4=0` is bisected at the point (1,5). Obtain its equation.

Text Solution

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Let the points be `A(alpha_1, beta_1)`
It is given that the line segment `AB` is bisected at the point `P(1,5)` therefore
`=>(1,5)=((alpha_1+alpha_2)/2,(beta_1+beta_2)/2)`
so,
...
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