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Question

Mathematics Question on Matrix

If x,y,z are all distinct and xx21+x3 yy21+y3 zz21+z3\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

-1

C

-3

D

0

Answer

-1

Explanation

Solution

The correct answer is(B): -1