JEE MATHEMATICS MCQ: RELATIONS

1 Easy

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Understanding +4 | -1

Let

A = \left\{ {x,\;y,\;z} \right\}\;and\;B = \left\{ {a,\;b,\;c,\;d} \right\}

. Which one of the following is not a relation from

A\;to\;B

View answer and explanation

Correct option: D

\left\{ {\left( {z,\;b} \right),\;\left( {y,\;b} \right),\;\left( {a,\;d} \right)} \right\}

Option D is correct because it contains an element (a, d) where 'a' is not in set A, thus violating the definition of a relation from A to B.

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\mathrm{Z}

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\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

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B

R

R

N

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R