If |{:(alpha,x,x,x),(x,beta,x,x),(x,x,ga...

If `|{:(alpha,x,x,x),(x,beta,x,x),(x,x,gamma,x),(x,x,x,delta):}|` =f(x)-xf'(x) then f(x) is equal to

A

`(x-alpha)(x-beta)(x-gamma)(x-delta)`

B

`(x+alpha)(x+beta)(x+gamma)(x+delta)`

C

`2(x-alpha)(x-beta)(x-gamma)(x-delta)`

D

None of the above

Verified by Experts

The correct Answer is:

A

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