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.