Which of the following set(s) is/are convex set(s)? A. {(x, y): xy ≤ 1, x ≥ 0, y ≥0} B. {(x, y): x 2 -3-y 2 , x, y ≥ 0} C. {(x, y): y 2 ≤ 4x, x ≥ 0, y ≥ 0} D. {(x, y): x 2 + y 2 ≤ 4} Choose the most appropriate answer from the options given below:

Question

Which of the following set(s) is/are convex set(s)? A. {(x, y): xy &le; 1, x &ge; 0, y &ge;0} B. {(x, y): x 2 -3>-y 2 , x, y &ge; 0} C. {(x, y): y 2 &le; 4x, x &ge; 0, y &ge; 0} D. {(x, y): x 2 + y 2 &le; 4} Choose the most appropriate answer from the options given below:

cdquestions Admin · Accepted Answer

C and D only

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:

The Correct Option is D

Solution and Explanation

Top Questions on Set Theory

Questions Asked in CUET PG exam

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:

The Correct Option is D

Solution and Explanation

Top Questions on Set Theory

Questions Asked in CUET PG exam

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: