Double fertilization is a distinctive process in flowering plants where one male gamete fertilizes the egg, forming a zygote, and another male gamete fuses with the polar nuclei to produce the triploid endosperm.
1. Efficient Resource Utilization: Guarantees that the endosperm, the embryo’s nutritional source, develops only after successful fertilization.
2. Simultaneous Development of Two Structures: Results in the concurrent formation of both the zygote (embryo) and the endosperm.
3. Enhanced Seed Viability: Promotes better nutrition and increased survival prospects for the embryo.
4. Triploid Endosperm Production: Acts as a vital food reserve, supporting the seedling’s initial growth.
Which of these options is true in the context of the below diagram of pollen grain?
The slope of the tangent to the curve \( x = \sin\theta \) and \( y = \cos 2\theta \) at \( \theta = \frac{\pi}{6} \) is ___________.
Solve the following L.P.P. by graphical method:
Maximize:
\[ z = 10x + 25y. \] Subject to: \[ 0 \leq x \leq 3, \quad 0 \leq y \leq 3, \quad x + y \leq 5. \]