Which of the following is not a convex set? - Vidyadip

MCQ

Which of the following is not a convex set?

A
{(x, y) ; 2x + 5y ≤ 7}
B
{(x, y) : x^₂ + y² ≤ 4}
C
{x : |x| = 5}
D
{(x, y) : 3x² + 2y² ≤ 6}

✓

Answer

{x : |x| = 5}

Solution:

|x| = 5 is not a convex set as any two points from negative and positive x-axis if are joined will not lie in set.

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