JEE MATHEMATICS MCQ: RELATIONS

1 Easy

1 of 1

Analyzing +4 | -1

Let

R_1

and

R_2

be two relations defined as follows:

R_1=\left\{(a, b) \in R^2: a^2+b^2 \in Q\right\}

and

R_2=\left\{(a, b) \in R^2: a^2+b^2 \notin Q\right\}.

Then,

View answer and explanation

Correct option: C

neither

R_1

nor

R_2

is transitive

The correct answer is C. Neither

R_1

nor

R_2

is transitive because counterexamples can be found for both relations.

More Questions from RELATIONS

Practice All Chapter MCQs →

\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