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The possible values of n for which the equation n x 2 + 2 n – 1 x + n – 1 = 0 has roots of opposite sign is/are given by

Options

  1. Ano values of n
  2. Ball values of n
  3. C– 1 < n < 0
  4. D0 < n < 1

Correct answer

D. 0 < n < 1

Step-by-step solution

D = 2 n – 1 2 – 4 n n – 1 = 4 n 2 + 1 – 4 n – 4 n 2 + 4 n = 1 > 0 Product of roots = n - 1 n < 0 &#8658; n n – 1 < 0 &#8658; n ∈ 0 , 1

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