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The number of integral values of c for which both the roots of the equation x 2 - 2 c x + c 2 = 1 are greater than - 2 but less than 4 are

Options

  1. A0
  2. B1
  3. C2
  4. Dmore than 2

Correct answer

D. more than 2

Step-by-step solution

x - c 2 = 1 ⇒ x - c = ± 1 ⇒ x = c + 1 , c - 1 c - 1 > - 2 and c + 1 < 4 ⇒ c > - 1 and c < 3 ⇒ - 1 < c < 3 ⇒ c = 0 , 1 , 2 Hence, the number of integral values of c are 3 .

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