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JEE Main20209 Jan 2020Evening ShiftMathematicsDeterminantsActual

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:

Options

  1. Af - 50 = 501
  2. Bf - 50 = - 1
  3. Cf 50 = - 501
  4. Df 50 = 1

Correct answer

D. f 50 = 1

Step-by-step solution

Apply R 1 = R 1 + R 3 - 2 R 2 ⇒ f x = a - 2 b + c 1 0 0 x + b x + 3 x + 2 x + c x + 4 x + 3 ⇒ f x = 1 x + 3 2 - x + 2 x + 4 ⇒ f x = 1 ⇒ f 50 = 1

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