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Consider the quadratic equation (c – 5)x 2 – 2cx + (c – 4) = 0, c ≠ 5. Let S be the set of all integral values of c for which one root of the equation lies in the interval (0, 2) and its other root lies in the interval (2, 3). Then the number of elements in S is -

1. 12
2. 18
3. 10
4. 11

Correct answer: 11

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