Question: If roots of the equation $ 3x^{2}-6x+5=0 $ are $ \alpha $ and $ \beta , $ then the equation having the roots $ \frac{1}{\alpha } $ and $ \frac{1}{\beta } $ is
Options:
A) $ 5x^{2}-6x-3=0 $
B) $ 5x^{2}-6x+3=0 $
C) $ 5x^{2}+6x+3=0 $
D) $ 5x^{2}+6x-3=0 $
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Answer:
Correct Answer: B
Solution:
- Since, $ \alpha $ and $ \beta $ are roots of the equation
$ 3x^{2}-6x+5=0 $
$ \therefore $ The equation with roots as $ \frac{1}{\alpha } $ and $ \frac{1}{\beta } $ is
$ 5x^{2}-6x+3=0 $