Complex Numbers And Quadratic Equations question 780
Question: If $ a,b,c\in Q $ , then roots of the equation $ (b+c-2a)x^{2}+ $ $ (c+a-2b)x+(a+b-2c)=0 $ are
Options:
A) Rational
B) Non-real
C) Irrational
D) Equal
Show Answer
Answer:
Correct Answer: A
Solution:
Here $ (b+c-2a)+(c+a-2b)+(a+b-2c)=0 $ Therefore the roots are rational.