Given: Four statements about group 13 elements are to be checked.
Find: Which statements are correct and hence the correct option.
Step 1: Understanding the concept
Group 13 elements show irregular trends because heavier members are affected by poor shielding of d and f electrons.
Step 2: Check each statement
Statement A is incorrect. The ionic radii of trivalent cations increase down the group:
B3+<Al3+<Ga3+<In3+<Tl3+
So they do not decrease down the group.
Statement B is incorrect. Electronegativity does not decrease uniformly down the group. It decreases from B to Al and then shows a marginal increase towards Tl because of poor shielding by d and f electrons.
Statement C is correct. Boron has the highest first ionisation enthalpy in the group because of its small size and high effective nuclear attraction.
Statement D is correct. The trichlorides and triiodides of group 13 elements are generally covalent in nature due to high charge density of the M3+ ion, in accordance with Fajans' rule. The solution also notes exceptions such as AlF3 and some thallium salts.
Conclude: Therefore, the correct statements are C and D only. Hence, the correct option is A.