JEE MATHEMATICS MCQ: RELATIONS

1 Easy

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Analyzing +4 | -1

R = \left\{ {\left( {a,b} \right):\left| {a + b} \right| = a + b} \right\}

is a relation defined on a set

\left\{ { - 1,\;0,\;1} \right\},

then

R

View answer and explanation

Correct option: B

Symmetric

Option B (Symmetric) is correct because if

|a + b| = a + b

, then

|b + a| = b + a

, implying that if (a, b) is in R, then (b, a) is also in R.

More Questions from RELATIONS

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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