Concept:
In \(d\)-orbitals, some orbitals have electron density along the axes and some have electron density between the axes.
Step 1: The orbitals \(d_{xy}, d_{yz}\), and \(d_{xz}\) have electron density between the axes.
Step 2: The orbital \(d_{x^2-y^2}\) has electron density along the \(x\)-axis and \(y\)-axis.
Step 3: The orbital \(d_{z^2}\) has electron density mainly along the \(z\)-axis.
Step 4: Therefore, the pair of orbitals having maximum electron density along the axes is:
\[
d_{z^2}, d_{x^2-y^2}
\]
Hence,
\[
\boxed{d_{z^2}, d_{x^2-y^2}}
\]