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} $ .