# UGC-NET | UGC NET CS 2016 July – III | Question 18

Which of the following statement(s) is/are correct with reference to curve generation?
I. Hermite curves are generated using the concepts of interpolation.
II. Bezier curves are generated using the concepts of approximation.
III. The Bezier curve lies entirely within the convex hull of its control points.
IV. The degree of Bezier curve does not depend on the number of control points.
(A) I, II and IV only
(B) II and III only
(C) I and II only
(D) I, II and III only

Explanation:

• Hermite curves are generated using the concepts of interpolation.Correct
• Bezier curves are generated using the concepts of approximation.Correct
• The Bezier curve lies entirely within the convex hull of its control points.Correct
• The degree of Bezier curve does not depend on the number of control points.Incorrect
• The degree of Bezier curve depends on the number of control points.

So, option (D) is correct.

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