Write following sets in set-builder form : { 1,4,9 ldots 100}

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1.Set Theory

easy

Write the following sets in the set-builder form :

$\{ 1,4,9 \ldots 100\} $

Option A

Option B

Option C

Option D

Solution

$\{1,4,9 \ldots 100\}$

It can be seen that $1=1^{2}, 4=2^{2}, 9=3^{2} \ldots 100=10^{2}$

$\therefore \{ 1,4,9 \ldots 100\} = \{ x:x = {n^2},n \in N{\rm{ }}$ and $1\, \le \,n\, \le \,10\} $

Standard 11

Mathematics

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