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JEE Main 2000 Mathematics question on Complex Numbers and Quadratic Equations

If b>ab > a, then the equation (x−a)(x−b)−1=0(x - a)(x - b) - 1 = 0 has
  1. A.
    both roots in (a,b)(a, b)
  2. B.
    both roots in (−∞,a)(-\infty, a)
  3. C.
    both roots in (b,+∞)(b, +\infty)
  4. D.
    one root in (−∞,a)(-\infty, a) and the other in (b,∞)(b, \infty)
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Correct option: D

[2000]

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