Prove that PM^2 = Latus rectum × PN ? Share with your friends Share 3 Neha Sethi answered this Dear student Draw PM⊥ to its axes and PN⊥ to tangent at the vertex.ThenThe equation of parabola is : y2=4ax⇒PM2=4a×PN ∵y=PM and x=PN⇒PM2=Latus ractum×PN ∵4a=Latus ractum because it is 4 times the focal length. Regards 5 View Full Answer