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Consider the quadratic equation, (c-5) x...

Consider the quadratic equation, `(c-5) x^(2)-2cx+(c-4) =0, c ne 5.` Let S be the set of all integral values for 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

A

11

B

18

C

10

D

12

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The correct Answer is:
A
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