The correct answer is d. Intellectualization
Intellectualization refers to a defense mechanism that involves blocking the emotional aspect of a situation, and only looking at objective facts. It involves intellectualizing a difficult situation, and keeping an emotional distance from it so that the situation is easier to cope with. In this instance, rather than expressing sadness, fear or anger as a result of his brother's cancer diagnosis, Roger is coping with the news by intellectualizing the situation, and focusing on objective things he can do to help: creating an online fundraising page, a support group, and researching all the latest studies on his brother's type of cancer.