FBISE, NCP & NBF-aligned resources for Classes 9–12
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Math Chapter 3 : Topic 6
Relation Representations
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A relation can be represented in all of the following forms $EXCEPT$:
Reasoning: Relations are represented mathematically, not in descriptive paragraph form.
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In a table representation of a relation, each row corresponds to:
Reasoning: Each row shows one input-output pair.
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In ordered pair $(x,\ y)$, which representation method uses these directly?
Reasoning: Ordered pairs are used in tables and plotted on graphs.
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Which coordinate system is used to represent relations graphically?
Reasoning: Relations are plotted on the Cartesian plane.
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A point $(2,3)$ on a graph represents:
Reasoning: Each plotted point represents an ordered pair.
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Which representation shows input-output values clearly?
Reasoning: All representations show relation between variables.
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In a table, the first column usually represents:
Reasoning: First column is domain (input).
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Which form is most useful to visualize trends in a relation?
Reasoning: Graphs show patterns visually.
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A relation $R = \{(1,2),\ (2,4)\}$ is represented in a table as:
Reasoning: Each pair becomes a row in a table.
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Which representation is best for large data patterns?
Reasoning: Graphs make trends easy to observe.
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A graph point $(x,\ y)$ shows:
Reasoning: Each point shows a pair relationship.
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Which statement is TRUE?
Reasoning: Relations have multiple representations.
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Which is NOT a valid representation of a relation?
Reasoning: Story form is not mathematical representation.
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In a graph, the horizontal axis represents:
Reasoning: $x$-axis represents domain (input).
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The vertical axis in a graph represents:
Reasoning: $y$-axis represents range (output).
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If a relation is given in table form, converting it into ordered pairs means:
Reasoning: Each row becomes an ordered pair.
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Which representation helps in plotting points easily?
Reasoning: All can be used for plotting.
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A graph is made by:
Reasoning: Points from ordered pairs are plotted.
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Which representation is most precise for mathematical analysis?
Reasoning: Ordered pairs give exact values.
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A relation shown in a table can be converted into a graph by:
Reasoning: Each pair becomes a plotted point.
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Which feature is common in all representations of a relation?
Reasoning: Relations always connect inputs and outputs.
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Why are graphs useful in representing relations?
Reasoning: Graphs make relationships easy to see.
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Which representation is best for exact value lookup?
Reasoning: Tables give precise values.
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Ordered pair representation is also known as:
Reasoning: Ordered pairs correspond to coordinates.
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