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 $ .