JEE MATHEMATICS MCQ: RELATIONS

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Analyzing +4 | -1

In the set

A = \left\{ {1,\;2,\;3,\;4,\;5} \right\},

a relation

R

is defined by

R = \left\{ {\left( {x,y} \right):x,y \in A\;\mathrm{and\;}x < y} \right\}.

Then,

R

View answer and explanation

Correct option: C

Transitive

Option C is correct because the relation R is transitive, meaning if x < y and y < z, then x < z.

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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