Step 1: Analyze the Functions:
We need a plant hormone that performs two specific functions:
1. Promote flowering in Pineapple.
2. Induce Parthenocarpy (fruit formation without fertilization) in Tomato.
Step 2: Evaluate Options:
Ethylene: Promotes flowering in pineapple (synchronizes it). However, it is not primarily used for parthenocarpy in tomatoes.
Auxin: Synthetic auxins (like NAA and 2,4-D) are widely used to induce parthenocarpy in tomatoes. Auxins also promote flowering in pineapples and litchi.
Gibberellin: Can induce parthenocarpy (often in grapes), but Auxin is the standard textbook answer for Tomatoes.
Cytokinin: Primarily cell division.
Step 3: Disambiguation:
While Ethylene is strongly associated with flowering in pineapple, Auxins are also capable of promoting flowering in pineapples and are the primary agents cited for parthenocarpy in tomatoes in standard curricula (e.g., NCERT). Therefore, Auxin fits both descriptions best in the context of this question.