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Home » Given that N = {1, 2, 3,…, 100}. Then write (i) the subset of N whose elements are even numbers. (ii) the subset of N whose element are perfect square numbers.
Given that N = {1, 2, 3,…, 100}. Then write (i) the subset of N whose elements are even numbers. (ii) the subset of N whose element are perfect square numbers.
CBSE | Class 11 | Maths | NCERT Exemplar | Sets
Given that N = {1, 2, 3,…, 100}. Then write (i) the subset of N whose elements are even numbers. (ii) the subset of N whose element are perfect square numbers.

Solution:

It is known that,

A set ‘A’ is a subset of a set ‘B’, if ‘A’ is “contained” inside ‘B’. As a result, all elements of ‘A’ are also elements of ‘B’.

(i) As per the question,

N=\{1,2,3, \ldots, 100\}

As a result, subset of N whose elements are even numbers

=\{2,4,6,8, \ldots \ldots \ldots, 100\}

(ii) As per the question,

N=\{1,2,3, \ldots, 100\}

As a result, subset of \mathrm{N} whose elements are perfect square numbers

=\{1,4,9,16,25,36,49,64,81,100\}

i

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