Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store

From the sets given below, select equal set:
\[
  A = \left\{ {2,4,8,12} \right\}, \\
  B = \left\{ {1,2,3,4} \right\}, \\
  C = \left\{ {4,8,12,14} \right\}, \\
  D = \left\{ {3,1,4,2} \right\}, \\
  E = \left\{ { - 1,1} \right\}, \\
  F = \left\{ {0,a} \right\}, \\
  G = \left\{ { - 1,1} \right\}, \\
  H = \left\{ {0,1} \right\} \\
\]

seo-qna
SearchIcon
Answer
VerifiedVerified
488.7k+ views
Hint: Compare the sets having equal number of elements.

For the given sets, we have:
\[
  A = \left\{ {2,4,8,12} \right\} \\
  n\left( A \right) = 4 \\
  B = \left\{ {1,2,3,4} \right\} \\
  n\left( B \right) = 4 \\
  C = \left\{ {4,8,12,14} \right\} \\
  n\left( C \right) = 4 \\
  D = \left\{ {3,1,4,2} \right\} \\
  n\left( D \right) = 4 \\
  E = \left\{ { - 1,1} \right\} \\
  n\left( E \right) = 2 \\
  F = \left\{ {0,a} \right\} \\
  n\left( F \right) = 2 \\
  G = \left\{ { - 1,1} \right\} \\
  n\left( G \right) = 2 \\
  H = \left\{ {0,1} \right\} \\
  n\left( H \right) = 2 \\
\]
Number of elements in A, B, C, D are the same i.e. all have 4 elements. So, they are comparable.
Now we see that B and D have the same elements.
So, B and D are equal sets.
Similarly E, F, G and H are comparable as they all have same number of elements i.e. 2
Clearly, E and G have the same elements.
So, E and G are equal sets.

Note: We need to remember that 2 sets can be equal if and only if they are comparable or the number of elements in both of the sets is the same. Even if some of the elements in two sets are equal, still they cannot be equal till they have equal no of elements.
Watch videos on
From the sets given below, select equal set:
\[
  A = \left\{ {2,4,8,12} \right\}, \\
  B = \left\{ {1,2,3,4} \right\}, \\
  C = \left\{ {4,8,12,14} \right\}, \\
  D = \left\{ {3,1,4,2} \right\}, \\
  E = \left\{ { - 1,1} \right\}, \\
  F = \left\{ {0,a} \right\}, \\
  G = \left\{ { - 1,1} \right\}, \\
  H = \left\{ {0,1} \right\} \\
\]

icon
Class 11 MATHS NCERT EXERCISE 1.2 (Question - 6) | Sets Class 11 Chapter 1 | NCERT | Ratan Kalra Sir
Subscribe
iconShare
likes
137 Views
1 year ago