If the locus of the middle points of the...

If the locus of the middle points of the chords of the parabola `y^2=2x` which touches the circle `x^2 + y^2-2x-4=0` is given by `(y^2 + 1-x)^2= lambda(1 + y^2),` then the value of `lambda ` is equal to

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