JEE Advanced Sets and Relations — practice questions — page 2

Explore 36 free Sets and Relations questions in JEE Advanced Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Sets and Relations questions and exercises with answers

Showing questions 31–36 of 36.

A relation $f$ from $A$ to $B$ is a function if every element of $A$ has:Read the answer and worked solution →The graph of $f(x) = 1/x$ in $\mathbb{R} - \{0\}$ is:Read the answer and worked solution →Roster form or set-builder form?Read the answer and worked solution →True or false: setsRead the answer and worked solution →Match each relation termRead the answer and worked solution →Which one does NOT belong?Read the answer and worked solution →

Worked practice questions

A relation $f$ from $A$ to $B$ is a function if every element of $A$ has:

no image in B
exactly one image in $B$
an image equal to itself
at least two images in B

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Correct answer: B. exactly one image in $B$

A function assigns each element of the domain exactly one image in the codomain.

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The graph of $f(x) = 1/x$ in $\mathbb{R} - \{0\}$ is:

A straight line through the origin with positive slope
A parabola opening upward centered at the origin point
A circle of radius 1 centered at the origin on the plane
A hyperbola with the axes as its two asymptotes here

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Correct answer: D. A hyperbola with the axes as its two asymptotes here

$f(x) = 1/x$ is a rectangular hyperbola with x- and y-axes as asymptotes.

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Roster form or set-builder form?

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Items

Item
Elements listed
Category
Roster
Item
Order irrelevant
Category
Roster
Item
Written as 2, 4, 6
Category
Roster
Item
States a property
Category
Set-builder
Item
One common rule
Category
Set-builder
Item
x such that ...
Category
Set-builder

Categories

Item
Roster
Item
Set-builder

Instructions

Tap a description, then tap the form of writing a set it names.

_Source: syllabus Maths Ch1 Sets, 1.1 Introduction_

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