NIMCET 2023 Question Paper with solutions

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Question : 1 of 120

Marks: +1, -0

Let

{\R}

be a reflexive relation on a set

{\A}

having 10 elements. If

m

is the number of ordered pairs in

{\R}

, then:

$m=10$
$m ≤ 10$
$m=100$
$m ≥ 10$

Solution:

Given

{\R}

has

m

order pairs.
Since

{\R}

is reflexive relation on

{\A}

, therefore

(a, a) ∈ {\R} ∀ a ∈ {\A}

Then the minimum number of ordered pairs in

{\R}

is 10 . Therefore

m ≥ 10

.

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