1.
PNPN is an ordinate of the parabola y2=4axy^2 = 4ax (PP on y2=4axy^2 = 4ax and NN on x-axis). A straight line is drawn parallel to the axis to bisect NPNP and meets the curve in QQ. NQNQ meets the tangent at the vertex in a point TT such that AT=kNPAT = kNP, then the value of kk is (where AA is the vertex):