Statement I : The radial probability distribution curves of 1s, 2p, 3d orbitals are identical in shape
Statement II : The number of nodal planes present in these orbitals are different

Statement I : Number of peaks in radial probability curves = (n - l)

Thus in the radial probability curves of 1s, 2p and 3d orbitals number of peaks = 1

Thus Statement I is true

Statement II : 

Number of nodal planes = l

Number of nodal planes in 1s, 2p and 3d orbitals are 0, 1, 2 respectively

Thus Statement II is true