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The slope of line which belongs to famil...

The slope of line which belongs to family (1+ l) x + (1-l)y + 2(1-l) = 0 and makes shortest intercept on `x^2 = 4y - 4`

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`(1+l)x+(l-1)y+2(1-l)=0`
`x+xl+ly-y+2+2l=0`
`(x-y+2)+l(x+y-2)=0`
`x-y+2=0-(1)`
`x+y-2=0-(2)`
adding equation 1 and 2
x=0,y=0
`x^2=4(y-1)`
...
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