\[\left| \,\begin{matrix} {{\sin }^{2}}x & {{\cos }^{2}}x & 1 \\ {{\cos }^{2}}x & {{\sin }^{2}}x & 1 \\ -10 & 12 & 2 \\ \end{matrix}\, \right|=\] [EAMCET 1994]

\[12{{\cos }^{2}}x-10{{\sin }^{2}}x\]

\[12{{\sin }^{2}}x-10{{\cos }^{2}}x-2\]

\[\left| \,\begin{matrix} {{\sin }^{2}}x & {{\cos }^{2}}x & 1 \

1.	\[\left\| \,\begin{matrix} {{\sin }^{2}}x & {{\cos }^{2}}x & 1 \\ {{\cos }^{2}}x & {{\sin }^{2}}x & 1 \\ -10 & 12 & 2 \\ \end{matrix}\, \right\|=\] [EAMCET 1994]
A.	0
B.	\[12{{\cos }^{2}}x-10{{\sin }^{2}}x\]
C.	\[12{{\sin }^{2}}x-10{{\cos }^{2}}x-2\]
D.	\[10\sin 2x\]
Answer» B. \[12{{\cos }^{2}}x-10{{\sin }^{2}}x\]

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\[\left| \,\begin{matrix} {{\sin }^{2}}x & {{\cos }^{2}}x & 1 \\ {{\cos }^{2}}x & {{\sin }^{2}}x & 1 \\ -10 & 12 & 2 \\ \end{matrix}\, \right|=\] [EAMCET 1994]

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