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Let "a" be the sum of all coefficients i...

Let "a" be the sum of all coefficients in the expansion of `(1-2x+2x^(2))^(2023)(3-4x^(2)+2x^(3))^(2024)` and `b=lim_(x rarr0)((int_(0)^(x)(log(1+t))/(t^(2024)+1)dt)/(x^(2)))` .If the equations `cx^(2)+dx+e=0" and "2bx^(2)+ax+4=0` have a common root,where `c,d,e in R` ,then d:c:e equals

A

`4:1:4`

B

`2:1:4`

C

`1:1:4`

D

`1:2:4`

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