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Relations and Functions — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSRelations and Functions1 Mark
MCQ
Which one of the following is not a function?
  • A
    $\{(\text{x, y}):\text{x},\text{ y}\in\text{R},\text{x}^2=\text{y}\}$
  • B
    $\{(\text{x, y}):\text{x},\text{ y}\in\text{R},\text{y}^2=\text{x}\}$
  • C
    $\{(\text{x, y}):\text{x},\text{ y}\in\text{R},\text{x}^2=\text{y}^3\}$
  • D
    $\{(\text{x, y}):\text{x},\text{y}\in\text{R},\text{y}=\text{x}^3\}$
✓

Answer

  1. $\{(\text{x, y}):\text{x},\text{ y}\in\text{R},\text{y}^2=\text{x}\}$

Solution:

y2 = x gives two values of y for a value of x

i.e. there are two images for a value of x.

For example: (2)2 = 4 and (-2)2 = 4

Thus, it is not a function.

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