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Relations and Functions — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsRelations and Functions1 Mark
MCQ
Which of the following are functions?
  • A
    $\{(\text{x, y}):\text{y}^2=\text{x, x, y}\in\text{R}\}$
  • ✓
    $\{(\text{x, y}):\text{y}=\text{|x|},\text{x, y}\in\text{R}\}$
  • C
    $\{(\text{x, y}):\text{x}^2+\text{y}^2=1,\text{x, y}\in\text{R}\}$
  • D
    $\{(\text{x, y}):\text{x}^2-\text{y}^2=1\text{x, y}\in\text{R}\}$
✓

Answer

Correct option: B.
$\{(\text{x, y}):\text{y}=\text{|x|},\text{x, y}\in\text{R}\}$
For every value of $\text{x}\in\text{R},$ there is a unique value $\text{y} \in\text{R}$
i.e., there is a unique image for all values of $\text{x}\in\text{R},$
Also, values of $x$ occur only once in the ordered pairs.
Thus, it is a function.

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