Vikas TU
Last Activity: 8 Years ago
If PQ is a Focal Chord of a parabola y² = 4ax, a > 0,
whose focus is S, then the segments SP and SQ
of this chord are such that
... 1/(SP) + 1/(SQ) = 1/a
∴ 1/(SP) + 1/(SQ) = 2[ 1/(2a) ]
∴ Harmonic Mean of SP and SQ is 2a ........................................... Ans. : (b)
. . . . . . . . . . . . . . . . . . . . . . . . . . . .= (1/2)(4a)
. . . . . . . . . . . . . . . . . . . . . . . . . . . .= (1/2)( Latus Rectum )
∴ Harmonic Mean of Segments of a Focal Chord = Semi-Latus-Rectum.