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Which of the Following is Not a Convex Set? (A) {(X, Y) : 2x + 5y < 7} (B) {(X, Y) : X2 + Y2 ≤ 4} (C) {X :|X| = 5} (D) {(X, Y) : 3x2 + 2y2 ≤ 6} - Mathematics

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MCQ

Which of the following is not a convex set?

Options

  •  {(xy) : 2x + 5y < 7}

  •  {(xy) : x2 + y2 ≤ 4}

  •  {x :|x| = 5}

  •  {(xy) : 3x2 + 2y2 ≤ 6}

     
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Solution

 {x :|x| = 5}

|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.

Concept: Introduction of Linear Programming
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APPEARS IN

RD Sharma Class 12 Maths
Chapter 30 Linear programming
MCQ | Q 12 | Page 68

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