A) \[{{x}^{2}}+x+1=0\]has no real roots.
B) \[{{x}^{2}}-4x+3=0\]and\[{{x}^{2}}-x-2=0\]have two common roots.
C) \[{{x}^{2}}-3x-4=0\]have real and equal roots.
D) The roots of\[a{{x}^{2}}+bx+c=0,a\ne 0\]are reciprocal to each other if\[a\ne c\].
Correct Answer: A
Solution :
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