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

STATEMENT-1: Orbital having xz plane as node may be 3d_(xy) STATEMENT-2: 3d_(xy) has zero radial node.

{:(,"ColumnI",,"ColumnII"),((A),"The d-orbital which has two angular nodes",(P),3d_(x^(2)-y^(2))),((B),"The d-orbitial with two nodal surfaced from conce",(Q),3d_(s^2)),((C),"The orbital without angular node",(R),4f),((D),"The orbital which has three angular nodes",(S),3s):}

If f_(1) ,(x) and f_(2)(x) are defined on a domain D_(1) , and D_(2) , respectively, then domain of f_(1)(x) + f_(2) (x) is :

The probability of finding electron in d_(xy) orbital is :

What is crystal field splitting ? How will you account for the colour of compounds having completely filled and empty d orbitals and partially filled d orbitals ?

If y^2=P(x) is a polynomial of degree 3, then 2(d/(dx))(y^2dot(d^2y)/(dx^2)) is equal to P^(x)+P^(prime)(x) (b) P^(x)dotP^(x) P(x)dotP^(x) (d) a constant

If R = (x,y) , xy = 12 is a relation on N, write the domain of R.

How many orbitals are present in d subshell.