Complex Numbers And Quadratic Equations question 577

Question: The roots of the quadratic equation $ (a+b-2c)x^{2}-(2a-b-c)x+(a-2b+c)=0 $ are

Options:

A) $ a+b+c $ and $ a-b+c $

B) $ \frac{1}{2} $ and $ a-2b+c $

C) $ a-2b+c $ and $ \frac{1}{a+b-x} $

D) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

One of the roots of the given equation is x $ =1 $ , as the sum of the coefficient is zero.