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If 2a + 3b + 6c = 0, then at least one root of the equation ax^2 + bx + c = 0 lies in the interval

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If 2a + 3b + 6c = 0, then at least one root of the equation ax2 + bx + c = 0 lies in the interval
(a) (2, 3) 

(b) (1, 2) 

(c) (0, 1) 

(d) (1, 3).

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Note : In such type of problems we always consider f(x) as the integration of L.H.S of the given equation without constant. Here integration of

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