JEE MATHEMATICS MCQ: RELATIONS

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Analyzing +4 | -1

Which of the following statements is not correct for the relation R defined by aRb, if and only, if b lives within on kilometre from a?

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Correct option: C

R

is anti-symmetric

Option C

R

is anti-symmetric is correct because the relation is not anti-symmetric. If aRb and bRa, it doesn't imply a=b.

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\mathrm{Z}

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\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}

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R=\{(x, y) \in W \times W \mid

x

y

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S

X

R

X

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R