JEE MATHEMATICS MCQ: RELATIONS

1 Easy

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Analyzing +4 | -1

If sets

A

and

B

are defined as

A = \left\{ {\left( {x,\;y} \right):y = \frac{1}{x},0 \ne x \in R} \right\}

B = \left\{ {\left( {x,\;y} \right):y = - x,\;x \in R} \right\}

, then

View answer and explanation

Correct option: C

A \cap B = \phi

Option C (

A \cap B = \phi

) is correct because the hyperbola

y = \frac{1}{x}

and the line

y = -x

do not intersect, meaning their intersection is the empty set.

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