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Question

Mathematics Question on Determinants

If x, y, z are different and A=xx21+x3 yy21+y3 zz21+z3=0A=\begin{vmatrix} x & x^2 & 1+x^3 \\\ y & y^2 & 1+y^3 \\\ z & z^2 & 1+z^3 \end{vmatrix}=0, then the value of xyz is :

A

1

B

0

C

-1

D

2

Answer

-1

Explanation

Solution

The correct option is (C) :-1.