Question

Which of the following set(s) is/are convex set(s)?
A. {(x, y): xy ≤ 1, x ≥ 0, y ≥0}
B. {(x, y): x2-3>-y2, x, y ≥ 0}
C. {(x, y): y2 ≤ 4x, x ≥ 0, y ≥ 0}
D. {(x, y): x2 + y2 ≤ 4}
Choose the most appropriate answer from the options given below:

• A. A and B only
• B. A and C only
• C. B and C only
• D. C and D only

Answer 1

Answer: (D)

C and D only

Answer 2

The correct answer is(D): C and D only