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Model Paper 2 — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsModel Paper 21 Mark
MCQ
Which of the following is a convex set?
  • A
    $\left\{(x, y): y^2 \geq x\right\}$
  • B
    $\left\{(x, y): x^2+y^2 \geq 1\right\}$
  • ✓
    $\{(x, y): x \geq 2, y \leq 4\}$
  • D
    $\left.\{x, y): 3 x^2+4 y^2 \geq 5\right\}$
✓

Answer

Correct option: C.
$\{(x, y): x \geq 2, y \leq 4\}$
(c) $\{(x, y): x \geq 2, y \leq 4\}$
Explanation: $\{(x, y): x \geq 2, y \leq 4\}$is the region between two parallel lines, so any line segment joining any two points in it lies in it. Hence, it is a convex set.

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