1.If a,b,c>0a, b, c > 0a,b,c>0 and x,y,z∈Rx, y, z \in Rx,y,z∈R, then the determinant ∣(ax+a−x)2(ax−a−x)21(by+b−y)2(by−b−y)21(cz+c−z)2(cz−c−z)21∣\begin{vmatrix} (a^x+a^{-x})^2 & (a^x-a^{-x})^2 & 1 \\ (b^y+b^{-y})^2 & (b^y-b^{-y})^2 & 1 \\ (c^z+c^{-z})^2 & (c^z-c^{-z})^2 & 1 \end{vmatrix}(ax+a−x)2(by+b−y)2(cz+c−z)2(ax−a−x)2(by−b−y)2(cz−c−z)2111 is equal to -a.axbycza^x b^y c^zaxbyczb.axb−yc−za^x b^{-y} c^{-z}axb−yc−zc.a2xb2yc2za^{2x} b^{2y} c^{2z}a2xb2yc2zd.ZeroLogin to continueOnly logged in users canattempt or see the solution.
