JEE MATHEMATICS MCQ: RELATIONS

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Analyzing +4 | -1

Let

\mathrm{R}

be a relation on

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

defined by

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

if and only if

a d(b-c)=b c(a-d)

. Then

R

View answer and explanation

Correct option: C

Symmetric but neither reflexive nor transitive

Option C is correct because the relation R is symmetric but neither reflexive nor transitive, as demonstrated by the provided counterexamples.

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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