Quantitative Aptitude Ques 478

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 $

Show Answer

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 $