How do I determine if a column is in the primary key of its table? (SQL Server)

Similarly, the following will give you information about all the tables and their keys, instead of information about specific columns. This way, you make sure you have all the columns of interest and know what they participate in. In order to see all keys (primary, foreign, unique), comment the WHERE clause.

SELECT K.TABLE_NAME, C.CONSTRAINT_TYPE, K.COLUMN_NAME, K.CONSTRAINT_NAME
FROM INFORMATION_SCHEMA.TABLE_CONSTRAINTS AS C
JOIN INFORMATION_SCHEMA.KEY_COLUMN_USAGE AS K
ON C.TABLE_NAME = K.TABLE_NAME
AND C.CONSTRAINT_CATALOG = K.CONSTRAINT_CATALOG
AND C.CONSTRAINT_SCHEMA = K.CONSTRAINT_SCHEMA
AND C.CONSTRAINT_NAME = K.CONSTRAINT_NAME
WHERE C.CONSTRAINT_TYPE = 'PRIMARY KEY'
ORDER BY K.TABLE_NAME, C.CONSTRAINT_TYPE, K.CONSTRAINT_NAME

For your need, full outer join with INFORMATION_SCHEMA.COLUMNS and INFORMATION_SCHEMA.KEY_COLUMN_USAGE. At the select statement, add CONSTRAINT_NAME column from INFORMATION_SCHEMA.KEY_COLUMN_USAGE that will give you null or keyname.

select C.Table_Name, C.Column_name, data_type, is_Nullable, U.CONSTRAINT_NAME
from information_Schema.Columns C FULL OUTER JOIN INFORMATION_SCHEMA.KEY_COLUMN_USAGE U ON C.COLUMN_NAME = U.COLUMN_NAME
WHERE C.TABLE_NAME=@TABLENAME

Here is one way (replace 'keycol' with the column name you are searching for):

SELECT  K.TABLE_NAME ,
    K.COLUMN_NAME ,
    K.CONSTRAINT_NAME
FROM    INFORMATION_SCHEMA.TABLE_CONSTRAINTS AS C
        JOIN INFORMATION_SCHEMA.KEY_COLUMN_USAGE AS K ON C.TABLE_NAME = K.TABLE_NAME
                                                         AND C.CONSTRAINT_CATALOG = K.CONSTRAINT_CATALOG
                                                         AND C.CONSTRAINT_SCHEMA = K.CONSTRAINT_SCHEMA
                                                         AND C.CONSTRAINT_NAME = K.CONSTRAINT_NAME
WHERE   C.CONSTRAINT_TYPE = 'PRIMARY KEY'
        AND K.COLUMN_NAME = 'keycol';