If alpha " and "beta are the distinct ro...

If `alpha " and "beta` are the distinct roots of `ax^(2)+bx+c=0`, where a,b and c are non-zero real numbers, then `(a alpha^(2)+b alpha+6c)/(a beta^(2)+ b beta+9c)+(a beta^(2)+b beta+19c)/(a alpha^(2)+b alpha+ 13c)` is equal to

A

`18c`

B

`27c`

C

`(36)(27)`

D

`(17)/(8)`

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The correct Answer is:

D

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