An action verb that is used with a direct object after it is called a transitive verb while an action verb that is not used with a direct object after it is called an intransitive verb. Transitive verbs always ask “for what?” or “for whom?”.
In the given sentence, the underlined word is 'drawing'. Generally, 'drawing' is an action verb but in the sentence, 'drawing' is a part of the object called 'drawing book'. Therefore, the verb drawing is neither transitive nor intransitive as it is playing the role of describing an object rather than being an action verb.
Therefore, the correct answer is option D) none of these.