Sequence And Series Question 497
Question: If $ a,\ b,\ c $ are in H.P., then which one of the following is true
[MNR 1985]
Options:
A) $ \frac{1}{b-a}+\frac{1}{b-c}=\frac{1}{b} $
B) $ \frac{ac}{a+c}=b $
C) $ \frac{b+a}{b-a}+\frac{b+c}{b-c}=1 $
D) None of these
Show Answer
Answer:
Correct Answer: D
Solution:
$ a,\ b,\ c $ are in H.P.
$ \Rightarrow $ $ b=\frac{2ac}{a+c} $ By inspection, we get (a) False (b) False (c) False