Let the quadratic equation $(c - 5) x^{2} - 2 c x + c - 4 = 0$ has one root in $(0, 2)$ and other root in $(2, 3)$ then find the number of intergral values of c in solution set (a) $18$ (b) $12$ (c) $11$ (d) $10$

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Let the quadratic equation

(c - 5) x^{2} - 2 c x + c - 4 = 0

has one root in

(0, 2)

and other root in

(2, 3)

then find the number of intergral values of c in solution set (a)

18

(b)

12

(c)

11

(d)

10

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Question Text

Let the quadratic equation

(c - 5) x^{2} - 2 c x + c - 4 = 0

has one root in

(0, 2)

and other root in

(2, 3)

then find the number of intergral values of c in solution set (a)

18

(b)

12

(c)

11

(d)

10

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