Conic Sections Question 139

Question: If -a- and -c- are the segments of a focal chord of a parabola and b the semi-latus rectum, then

[MP PET 1995]

Options:

A) a, b, c are in A.P.

B) a, b, c are in G.P.

C) a, b, c are in H.P.

D) None of these

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Answer:

Correct Answer: C

Solution:

Semi latus rectum is harmonic mean between segments of focal chords of a parabola. $ b=\frac{2ac}{a+c} $

therefore a, b, c are in H.P.