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

$\{(1,1),(2,1),(3,1),(4,1),(2,3)\}$

JEE MATHEMATICS MCQ: RELATIONS

1 Easy

1 of 1

Application +4 | -1

The relation

R

defined on the set

A=\{1,2,3,4,5\}

R=\left\{(a, b):\left|a^2-b^2\right|<16 \}\right.

is given by

View answer and explanation

Correct option: D

None of these.

Option D (None of these) is correct because none of the given options fully represent the relation R based on the condition

|a^2 - b^2| < 16

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\mathrm{Z}

R

\mathrm{N}

\mathrm{R}

\mathrm{N} \times \mathrm{N}

(\mathrm{a}, \mathrm{b}) \mathrm{R}(\mathrm{c}, \mathrm{d})

a d(b+c)=b c(a+d)

\mathrm{R}

W

R

R=\{(x, y) \in W \times W \mid

x

y

\}

S

R = \{ \left( {a,\;b} \right):1 + ab > 0\}

S

X

R

X

A

B

R

R

N

R = \left\{ {\left( {x,\;y} \right):4x + 3y = 20} \right\}

R