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.