A) \[a=3,b=-3,c=1\]
B) \[a=-3,b=3,c=1\]
C) \[a=3,b=3,c=-2\]
D) cannot be determined
Correct Answer: A
Solution :
Continuity of \[f\left( x \right)\text{ }at\text{ }x\text{ }=\text{ }1~\] \[\Rightarrow \,\,a+b+c=1\] Continuity of \[f'\left( x \right)\text{ }at\text{ }x\text{ }=\text{ }1\] \[\Rightarrow \,3=2a+b\] Continuity of \[f'\left( x \right)\text{ }at\text{ }x\text{ }=\text{ }1\] \[\Rightarrow \,6=2a\,\Rightarrow \,a=3\] Hence, \[b=-3\text{ }and\text{ }c=1\]You need to login to perform this action.
You will be redirected in
3 sec