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From a variable point P(t^(2),2t)(1letle...

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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