Complex Numbers And Quadratic Equations question 778
Question: Roots of the equations $ 2x^{2}-5x+1=0 $ , $ x^{2}+5x+2=0 $ are
Options:
A) Reciprocal and of same sign
B) Reciprocal and of opposite sign
C) Equal in product
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
We have that, if roots of $ ax^{2}+bx+c=0 $ are $ \alpha ,\beta $ , then the roots of $ cx^{2}+bx+a=0 $ will be $ \frac{1}{\alpha },\frac{1}{\beta } $ and hence roots of $ cx^{2}-bx+a=0 $ will be $ -\frac{1}{\alpha },-\frac{1}{\beta } $ .
BETA
