Select the correct statement(s) regarding chemical reactions of Ln:
A. The carbides `Ln_(3)C, Ln_(2)C_(3)` and `LnC_(2)` are formed when the metals are heated with carbon.
B. They liberate hydrogen from dilute acids and burn in halogens to form halides.
C. They form oxides `M_(2)O_(3)` and hydroxides `M(OH)_(3)`.
D. The hydroxides are just hydrated oxides and not definite compounds.