The correct option is C My mother is Italian and my father is Indian.
Predicative adjectives are placed after the noun, but not
immediately after it; it follows a linking verb that is placed after
that noun, for example, 'I love red', where 'red' is the adjective that is used predicatively and is placed after the linking verb, 'love'.
Option B is correct because the adjective "Italian" follows the linking verb "is" and modifies the noun "mother".
Option A is incorrect because the adjective that acts predicatively should not be placed immediately after a noun (there are exceptions) but after the verb.
Option C is incorrect because the clause"My Italian mother is" sounds incomplete. It ends after "is", and the linking verb is not followed by any word that can complete the clause.
Option D is incorrect because the answer lies in B.