Question

The determinant $\left|\begin{array}{ccc}{a}^2& a^2-(b-c{)}^2& bc\\ b^2& b^2-(c-a{)}^2& ca\\ c^2& c^2-(a-b{)}^2& ab\end{array}\right|$ is divisible by -

• A. $a+b+c$
• B. $(a+b)(b+c)(c+a)$
• C. $a^2+b^2+c^2$
• D. $(a-b)(b-c)(c-a)$

Answer 1

Answer: (A), (C), (D)

Correct answer is (a) $a+b+c$ Correct answer is (c) $a^2+b^2+c^2$ Correct answer is (d) $(a-b)(b-c)(c-a)$