Consider the chords of the parabola `y^(2)=4x` which touches the hyperbola `x^(2)-y^(2)=1`, the

Consider the chords of the parabola `y^(2)=4x` which touches the hyperbola `x^(2)-y^(2)=1`, the locus of the point of intersection of tangents drawn to the parabola at the extremitites of such chords is a conic section having latursrectum `lambda`, the value of `lambda`, is