The determinant |(b^2-ab, b-c, bc-ac)(ab-a^2, a-b, a^2-ab)(bc-ca, c-a, ab-a^2)|

Question

The determinant \(\begin{vmatrix} b^2-ab & b-c & bc-ac \\ ab-a^2 & a-b & a^2-ab \\ bc-ca & c-a & ab-a^2 \end{vmatrix}\) equals

A. abc(b – c)(c – a)(a – b)

B. (b – c)(c – a)(a – b)

C. (a + b + c)(b – c)(c – a)(a – b)

D. None of these

Answer 1

Correct answer is D.

Assume a = 1, b = 2, c = 3 (put in determinant)

put a = 1,b = 2, c = 3 in option A, B, C, D