Q79
Which one of the following does NOT equal \[ | array*20c 1& x& x^2 \\ 1& y& y^2 \\ 1& z& z^2 array |?\]
Which one of the following does NOT equal \left| {\begin{array}{*{20}{c}}
1&{\text{x}}&{{{\text{x}}^2}} \\
1&{\text{y}}&{{{\text{y}}^2}} \\
1&{\text{z}}&{{{\text{z}}^2}}
\end{array}} \right|?
A.
\left| {\begin{array}{*{20}{c}}
1&{{\text{x}}\left( {{\text{x}} + 1} \right)}&{{\text{x}} + 1} \\
1&{{\text{y}}\left( {{\text{y}} + 1} \right)}&{{\text{y}} + 1} \\
1&{{\text{z}}\left( {{\text{z}} + 1} \right)}&{{\text{z}} + 1}
\end{array}} \right|
AnswerB.
\left| {\begin{array}{*{20}{c}}
1&{{\text{x}} + 1}&{{{\text{x}}^2} + 1} \\
1&{{\text{y}} + 1}&{{{\text{y}}^2} + 1} \\
1&{{\text{z}} + 1}&{{{\text{z}}^2} + 1}
\end{array}} \right|
C.
\left| {\begin{array}{*{20}{c}}
0&{{\text{x}} - {\text{y}}}&{{{\text{x}}^2} - {{\text{y}}^2}} \\
0&{{\text{y}} - {\text{z}}}&{{{\text{y}}^2} - {{\text{z}}^2}} \\
1&{\text{z}}&{{{\text{z}}^2}}
\end{array}} \right|
D.
\left| {\begin{array}{*{20}{c}}
2&{{\text{x}} + {\text{y}}}&{{{\text{x}}^2} + {{\text{y}}^2}} \\
2&{{\text{y}} + {\text{z}}}&{{{\text{y}}^2} + {{\text{z}}^2}} \\
1&{\text{z}}&{{{\text{z}}^2}}
\end{array}} \right|
Answer: Option A
Solution
Answer: Option A
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