then [JEE MAIN Held on 09-01-2020 Evening]
A) \[f(50)=1\]
B) \[f(-50)=501\]
C) \[f(-50)=-1\]
D) \[f(50)=-501\]
Correct Answer: A
Solution :
Operate \[{{R}_{1}}\to {{R}_{1}}+{{R}_{3}}-2{{R}_{2}}\] and using \[a-2b+c=1\] 
\[\Rightarrow \,\,\,f(x)=1\,\,\,\,\,\,\,\,\,\,\,\,\Rightarrow \,\,\,f(50)=1\]
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