Question

If $a,b,c>0$ and $x,y,z\in R$, then the determinant $\left|\begin{array}{ccc}{\left(a^x+a^{-x}\right)}^2& {\left(a^x-a^{-x}\right)}^2& 1\\ {\left(b^y+b^{-y}\right)}^2& {\left(b^y-b^{-y}\right)}^2& 1\\ {\left(c^z+c^{-z}\right)}^2& {\left(c^z-c^{-z}\right)}^2& 1\end{array}\right|$ is equal to -

• A. $a^x{b}^y{c}^x$
• B. $a^{-x}{b}^{-y}{c}^{-2}$
• C. $a^{2x}{b}^{2y}{c}^{2z}$
• D. zero

Answer 1

Answer: (D)

$C_1\to C_1-C_2$