Select and write the correct answer from...

Select and write the correct answer from the given alternatives in each of the following:The determinant`|(lambda a,lambda^2+a^2,1),(lambda b,lambda^2+b^2,1),(lambda c,lambda^2+c^2,1)|` is equal to

A

`lambda(a+b)(b+c)(c+a)`

B

`lambda abc(a^2+b^2+c^2)`

C

`lambda(a-b)(c-b)(c-a)`

D

None of these

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