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Relations and Functions — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsRelations and Functions1 Mark
MCQ
The relation $R$ defined on the set $A=\{1,2,3,4,5\}$ by $R=\left\{(a, b):\left|a^2-b^2\right|<16\right\}$ is given by:
  • A
    $\{(1, 1), (2, 1), (3, 1), (4, 1), (2, 3)\}$
  • B
    $\{(2, 2), (3, 2), (4, 2), (2, 4)\}$
  • C
    $\{(3, 3), (4, 3), (5, 4), (3, 4)\}$
  • ✓
    None of these.
✓

Answer

Correct option: D.
None of these.
$R$ is given by $\{(1, 2), (2, 1), (2, 3), (3, 2), (3, 4), (4, 3), (4, 5), (5, 4),(1, 3), (3, 1), (1, 4), (4, 1), (2, 4), (4, 2)\}$ which is not mentioned in $(a), (b)$ or $(c).$

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