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The number of quadratic polynomials ax^(...

The number of quadratic polynomials `ax^(2)+2bx+c` which satisfy the following conditions is k
(i) a, b, c are distinct
(ii) `a, b, c in {1, 2, 3, 4,….2001, 2002}`
(iii) `x+1` divides `ax+2bx+c` Then `(k)/(10^(5))` is equal to

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20.02
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