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} $