1.

From a variable point P(t^(2),2t)(1letle3) on the parabola y^(2)=4x, perpendicular PM is drawn to the tangent at the vertex of the parabola. Now from the mid point Q of PM perpendicular QL is drawn to the focal chord of the parabola through P. If maximum length of QLltk, where kinN then find the value of k.

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