Consider the quadratic equation \( (c-5) x^{2}-2 c x+(c-4)=0, c \) ...

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Consider the quadratic equation \( (c-5) x^{2}-2 c x+(c-4)=0, c \) \( \neq 5 \). Let \( \mathrm{S} \) be the set of all integral values of \( \mathrm{c} \) for which
P one root of the equation lies in the interval \( (0,2) \) and its

W. other root lies in the interval \( (2,3) \). Then the number of elements in \( \mathrm{S} \) is :
[JEE Main -2019(January)]
(1) 18
(2) 12
(3) 10
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