Let a - 2 b + c = 1 . If f x = x + a x + 2 x + 1 x + b x + 3 x + 2 x + c x + 4 x + 3 , then:

Let a-2b+c=1.
If fx=x+ax+2x+1x+bx+3x+2x+cx+4x+3, then:
  1. f-50=501
  2. f-50=-1
  3. f50=-501
  4. f50=1

Solution

Apply R1=R1+R3-2R2
⇒fx=a-2b+c100x+bx+3x+2x+cx+4x+3

⇒fx=1x+32-x+2x+4

⇒fx=1

⇒f50=1

Asked in: JEE Main 2020 (09 Jan Shift 2)

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