Sequence And Series Question 15
Question: H.M. between the roots of the equation $ x^{2}-10x+11=0 $ is
[MP PET 1995]
Options:
A) $ \frac{1}{5} $
B) $ \frac{5}{21} $
C) $ \frac{21}{20} $
D) $ \frac{11}{5} $
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Answer:
Correct Answer: D
Solution:
Let roots be $ \alpha ,\ \beta $ then H.M. $ =\frac{2\alpha \beta }{\alpha +\beta }=\frac{11\times 2}{10}=\frac{11}{5} $ .