Flowering plants with hermaphrodite flowers have developed many reproductive strategies to ensure cross-pollination. Study the given outbreeding devices adopted by certain flowering plants and answer the questions that follow.
Note : All plants belong to the same species. No pollen tube growth/inhibition of pollen germination on stigma. Pollen germination on stigma.
Step 1: The outbreeding device shown in the table is self-incompatibility. Definition: Self-incompatibility is a genetic mechanism that prevents self-pollen (or pollen from genetically similar individuals) from fertilizing the ovule by inhibiting pollen germination or pollen tube growth on the stigma of the same plant.
Step 2: Disadvantage of absence: In the absence of self-incompatibility, the plant would undergo self-pollination, which would lead to:
The following question is based on pollination. Study the figures carefully and answer the questions that follow.
Prove that:
\( \tan^{-1}(\sqrt{x}) = \frac{1}{2} \cos^{-1}\left( \frac{1 - x}{1 + x} \right), \quad x \in [0, 1] \)