Length of Latus rectum of parabola whose focal chord Is PSQ such that SP =3 and SQ =2

Semi latus rectum is the Harmonic Mean of SP and SQ where P and Q r the extremities of focal chord and S is the focus..

Key Idea: Since the semi-latus rectum of a parabola is the HM of segments of a focal chord. ∴Semi-latus rectum =2SP.SQ/SP+SQ =2×3×23+2=12/5 ∴ Latus rectum of the parabola =2×12/5= 24/5.Thanks