Complex Numbers And Quadratic Equations question 783
Question: The condition for the roots of the equation, $ (c^{2}-ab)x^{2}- $ $ 2(a^{2}-bc)x+(b^{2}-ac)=0 $ to be equal is [TS Rajendra 1982]
Options:
A) $ a=0 $
B) $ b=0 $
C) $ c=0 $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
According to question, $ 4{{(a^{2}-bc)}^{2}}-4(c^{2}-ab)(b^{2}-ac)=0 $
Þ $ a(a^{3}+b^{3}+c^{3}-3abc)=0 $
Þ $ a=0 $ or $ a^{3}+b^{3}+c^{3}=3abc $
BETA
