question_answer

If , then

A)  \[f'(x)=0and\,f''(x)=0\]has one common root

B)  \[f(x)=0\,\,and\,f'(x)=0\]has one common root

C)  sum of roots of \[f(x)\]=0 is \[-\,3\,a\]

D)  none of these

Correct Answer: B

Solution :

[b] Applying \[{{C}_{1}}\to {{C}_{1}}+{{C}_{2}}+{{C}_{3}}\], we get Applying \[{{R}_{1}}\to {{R}_{1}}-{{R}_{2}}\]and\[{{R}_{2}}\to {{R}_{2}}-{{R}_{3}}\], we get