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Black Book Advanced Problems in MathematicsMathematicsDeterminants

If the number of quadratic polynomials ax^2 + 2bx + c which satisfy the following conditions: (i) a, b, c are distinct (ii) a, b, c 1, 2, 3, , 2001, 2002 (iii ) x + 1 divides ax^2 + 2bx + c is equal to 1000 , then find the value of .

Options

  1. A2002
  2. B2001
  3. C2003
  4. D2004

Correct answer

A. 2002

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