JEE MATHEMATICS MCQ: RELATIONS

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Analyzing +4 | -1

Let

\mathrm{R}=\left\{(x, y): x, y \in N\right.

and

\left.x^{2}-4 x y+3 y^{2}=0\right\}

, where

N

is the set of all natural numbers. Then the relation

R

is :

View answer and explanation

Correct option: D

reflexive and transitive.

Option D (reflexive and transitive) is correct because the relation satisfies the reflexive and transitive properties but not the symmetric property.

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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