How are `d^(xy)` and `d_(x^(2)-y^(2))` orbitals related to each other ?

In case of D_(x^(2_-y^(20) orbital :

Consider the following statements: (a) Electron density in the XY plane in 3d_(x^(2)-y^(2)) orbital is zero (b) Electron density in the XY plane in 3d_(z^(2)) orbital is zero. (c ) 2s orbital has one nodel surface (d) for 2p_(z) orbital, XY is the nodal plane. Which of these are incorrect statements :

The electron density in the xy plane in 3d_(x^(2) - y^(2)) orbital is zero

The energies of d_(xy) and d_(z)^(2) orbits in octahedral and tetrahedral transition metal complexes are such that-

Show that the curves xy=a^(2) and x^(2)+y^(2)=2a^(2) touch each other

Sum of values of lambda for which pair of lines x^(2)+2 lambda xy+2y^(2)=0 and (1+lambda)x^(2)-8xy+y^(2)=0 are equally inclined to each other is

The electron density in the xy- plane in 3d_(x^(2) - y^(2) orbital is zero