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If `alpha and beta` are the roots of equation `x^(2)-4x+13=0,` then quadratic equation whose root are `alpha^(4)-4alpha^(3)+13alpha^(2)+2and(beta^(3)-4beta^(2)+13beta+1)/(4)` is

A

`4x^(2)-9x+2=0`

B

`x^(2)-2x+1=0`

C

`x^(2)-3x+2=0`

D

`x^(2)-77x+1210=0`

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