JEE MATHEMATICS MCQ: RELATIONS

1 Easy

1 of 1

Analyzing +4 | -1

Let

R

be a relation defined on

S

, the set of squares on a chess board such that

xRy

iff

x

and

y

share a common side. Then, which of the following is false for

R

View answer and explanation

Correct option: C

Transitive

Option A is correct because the relation R is not reflexive, as a square cannot share a common side with itself.

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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