Complex Numbers And Quadratic Equations question 574

Question: If roots of $ x^{2}-7x+6=0 $ are $ \alpha ,\beta $ , then $ \frac{1}{\alpha }+\frac{1}{\beta } $ = [RPET 1995]

Options:

A) 6/7

B) 7/6

C) 7/10

D) 8/9

Show Answer

Answer:

Correct Answer: B

Solution:

$ \alpha +\beta =7,\alpha \beta =6. $ So $ \frac{1}{\alpha }+\frac{1}{\beta }=\frac{\alpha +\beta }{\alpha \beta }=\frac{7}{6} $