To answer this question, you need to understand the capabilities of the ALTER TABLE statement in SQL. Let's go through each option to understand why it is correct or incorrect:

Option A) Add a new column - This option is correct because the ALTER TABLE statement can be used to add a new column to an existing table.

Option B) Drop a check constraint - This option is correct because the ALTER TABLE statement can be used to drop or remove a check constraint from a table.

Option C) Change a column's name - This option is incorrect because the ALTER TABLE statement can be used to change a column's name in SQL. Therefore, it can be done using the ALTER TABLE statement.

Option D) Change the length of a VARCHAR column - This option is correct because the ALTER TABLE statement can be used to modify the length of a VARCHAR column in SQL.

The correct answer is C. Changing a column's name can be done using the ALTER TABLE statement.

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