Complex Numbers And Quadratic Equations question 516
Question: If one root of $ 5x^{2}+13x+k=0 $ is reciprocal of the other, then $ k $ = [MNR 1980, 1983]
Options:
A) 0
B) 5
C) 1/6
D) 6
Show Answer
Answer:
Correct Answer: B
Solution:
Let first root $ =\alpha $ and second root = $ \frac{1}{\alpha } $ Then $ \alpha .\frac{1}{\alpha }=\frac{k}{5}\Rightarrow k=5 $ .