Complex Numbers And Quadratic Equations question 544
Question: If the roots of the equation $ ax^{2}+bx+c=0 $ are reciprocal to each other, then [RPET 1985]
Options:
A) $ a-c=0 $
B) $ b-c=0 $
C) $ a+c=0 $
D) $ b+c=0 $
Show Answer
Answer:
Correct Answer: A
Solution:
Given equation is $ ax^{2}+bx+c=0 $ and whose roots are $ \alpha $ and $ \frac{1}{\alpha } $ , then the product of roots is $ \alpha .\frac{1}{\alpha }=\frac{c}{a}\Rightarrow c=a\Rightarrow a-c=0 $
BETA
