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Step 1: Identifying key architectural elements for the gateway.
- Incorporate design elements such as pillars, arches, decorative motifs, and institutional symbols.
- Maintain symmetry and well-balanced proportions for a grand entrance.
Step 2: Sketching the gateway.
- Use proper scaling to ensure visual harmony.
- Integrate details like columns, engravings, or university emblems.
- Enhance aesthetics with decorative lamps, intricate patterns, or contemporary signage.
Step 3: Enhancing realism in the sketch.
- Apply shading techniques to create depth and dimension.
- Use texture rendering to represent materials like stone, wood, or metal effectively.

Let $ P(x_1, y_1) $ and $ Q(x_2, y_2) $ be two distinct points on the ellipse $$ \frac{x^2}{9} + \frac{y^2}{4} = 1 $$ such that $ y_1 > 0 $, and $ y_2 > 0 $. Let $ C $ denote the circle $ x^2 + y^2 = 9 $, and $ M $ be the point $ (3, 0) $. Suppose the line $ x = x_1 $ intersects $ C $ at $ R $, and the line $ x = x_2 $ intersects $ C $ at $ S $, such that the $ y $-coordinates of $ R $ and $ S $ are positive. Let $ \angle ROM = \frac{\pi}{6} $ and $ \angle SOM = \frac{\pi}{3} $, where $ O $ denotes the origin $ (0, 0) $. Let $ |XY| $ denote the length of the line segment $ XY $. Then which of the following statements is (are) TRUE?