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Prove that the family of lines represent...

Prove that the family of lines represented by `x(1+gamma)+y(2-gamma)+5=0` `gamma` being arbitrary, passes through a fixed point. Also find the fixed point.

Text Solution

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Given equation of lines is
`x(1+lambda)+y(2−lambda)+5=0`
`x+lambdax+2y−2ylambda+5=0`
`(x+2y+5)+lambda(x−y)=0`
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