Complex Numbers And Quadratic Equations question 797
Question: The roots of $ 4x^{2}+6px+1=0 $ are equal, then the value of p is [MP PET 2003]
Options:
A) $ \frac{4}{5} $
B) $ \frac{1}{3} $
C) $ \frac{2}{3} $
D) $ \frac{4}{3} $
Show Answer
Answer:
Correct Answer: C
Solution:
Roots of equation $ 4x^{2}+6px+1=0 $ are equal
$ \therefore B^{2}-4AC=0 $
Þ $ {{(6p)}^{2}}=4.4.1 $
$ \Rightarrow 36p^{2}=16 $
$ \Rightarrow p=2/3 $ .
BETA
