Computer Science - UGC NET 2021 [ Question ID = 2339 ]

Question

Suppose a Bezier curve P(t) is defined by the following four control points in the xy - plane : P0 = (-2,0); P1 = (-2,4); P2 = (2,4); and P3 = (2,0). Then which of the following statements are correct ? 

1. Bezier curve P(t) has degree 3.
2. P(1 / 2) = (0,3).
3. Bezier curve P(t) may extend outside the convex hull of its control points.

Choose the correct answer from the options given below : 

• A. 1 and 2 only.
• B. 1 and 3 only.
• C. 2 and 3 only.
• D. 1, 2, and 3.