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Question

Mathematics Question on Determinants

if x\neqy\neqz and xx21+x3 yy21+y3 zz21+z3=0\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

2

B

4

C

-3

D

-1

Answer

-1

Explanation

Solution

The correct option is (D): -1