Complex Numbers And Quadratic Equations question 573

Question: If the roots of equation $ 5x^{2}-7x+k=0 $ are reciprocal to each other, then value of $ k $ is [RPET 1995; MP PET 2002]

Options:

A) 5

B) 2

C) 1/5

D) 1

Show Answer

Answer:

Correct Answer: A

Solution:

$ \alpha .\frac{1}{\alpha }=\frac{k}{5} $ or $ k=5 $ .