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Given that E = {2, 4, 6, 8, 10}. If n represents any member of E, then, write the following sets containing all numbers represented by n2

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प्रश्न

Given that E = {2, 4, 6, 8, 10}. If n represents any member of E, then, write the following sets containing all numbers represented by n2 

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उत्तर

Given E = {2, 4, 6, 8, 10}

Let B = {x | x = n2, n ∈ E}

So, for 2 ∈ E

x = (2)2

= 4, 4 ∈ E, x

= (4)2

= 16, 6 ∈ E, x

= (6)2

= 36,

And so on.

Hence, B = {4, 16, 36, 64, 100}.

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अध्याय 1: Sets - Solved Examples [पृष्ठ ५]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 11
अध्याय 1 Sets
Solved Examples | Q 5.(ii) | पृष्ठ ५

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