Complex Numbers And Quadratic Equations question 552
Question: If the roots of the given equation $ (2k+1)x^{2}-(7k+3)x+k+2=0 $ are reciprocal to each other, then the value of k will be [MP PET 1986]
Options:
A) 0
B) 1
C) 2
D) 3
Show Answer
Answer:
Correct Answer: B
Solution:
Let roots are $ \alpha $ and $ \frac{1}{\alpha } $ ,than $ \alpha .\frac{1}{\alpha }=\frac{k+2}{2k+1}\Rightarrow 1=\frac{k+2}{2k+1}\Rightarrow k=1 $
BETA
