If 2a+3b+6c=0, then prove that at least ...

If `2a+3b+6c=0,` then prove that at least one root of
the equation `a x^2+b x+c=0` lies in the interval (0,1).

A

(a) `(0,1)`

B

(1,2)

C

(2,3)

D

(1,3)

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The correct Answer is:

A

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