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If a,b,c are positive rational numbers such that `agtbgtc` and the quadratic eqution `(a_b-2c)x^2+(b+c-2a)x+(c+a-2b)=0` has a root of the interval (-1,0) then (A) `c+alt2b` (B) the roots of the equation are rational (C) the roots of are imaginary (D) none of these

A

`b+c gt a`

B

`c + a lt 2b`

C

both roots of given equation are rational

D

the equation `ax^(2)+2bx+c=0` has both negative real roots

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The correct Answer is:
B, C, D
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