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JEE Math Practice Question

Let a – 2b + c = 1. If $$f(x)=\left| {\begin{matrix} {x + a} & {x + 2} & {x + 1} \\ {x + b} & {x + 3} & {x + 2} \\ {x + c} & {x + 4} & {x + 3} \\ \end{matrix} } \right|$$, then:

  1. A.ƒ(50) = 1
  2. B.ƒ(–50) = –1
  3. C.ƒ(50) = –501
  4. D.ƒ(–50) = 501

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