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Class 12 · Mathematics

If (A) has (5) elements and the partition of an equivalence relation is ({{a,b},{c,d,e}}), how many ordered pairs are in the relation?

Class 12 · Mathematics

On (A={1,2,3,4,5,6}), (aRb) if and only if (a\equiv b \pmod{3}). What are the distinct equivalence classes of this relation?

Class 12 · Mathematics

On the set of (2\times 2) real matrices, (A RB) if and only if (\det(A)=\det(B)). Why is this relation an equivalence relation?

Class 10 · Mathematics

Which option is correct for comparing (\sqrt{2}+\sqrt{18}) and (\sqrt{8}+\sqrt{12})?

Class 10 · Mathematics

Which option gives the correct value of (\sqrt{2}\sqrt{8}+\sqrt{3}\sqrt{12})?

Class 10 · Mathematics

What is (\sqrt{75}+\sqrt{12}) equal to and what is its type?

Class 10 · Mathematics

Which option is the correct value of (\frac{\sqrt{75}-\sqrt{12}}{\sqrt{3}})?

Class 10 · Mathematics

If (x=\sqrt{13}+\sqrt{12}), what is the value of (x\cdot(\sqrt{13}-\sqrt{12}))?

Class 10 · Mathematics

Which option gives the correct comparison between (\sqrt{3}+\sqrt{6}) and (\sqrt{12})?

Class 10 · Mathematics

Which option is the simplified form of (\sqrt{2}+\sqrt{8}+\sqrt{32}+\sqrt{128})?

Class 10 · Mathematics

Which option gives the correct value of (\frac{\sqrt{12}+\sqrt{27}}{\sqrt{3}})?

Class 12 · Mathematics

On integers, (aRb) holds when (a\equiv b \pmod{4}), and (aSb) holds when (a\equiv b \pmod{6}). In (R\cap S), what is the equivalence class of (14)?

Class 10 · Mathematics

Which option correctly states the relation between (\sqrt{3}) and (\sqrt{12})?

Class 10 · Mathematics

Which option is the correct simplified form of (\sqrt{3}+\sqrt{12}+\sqrt{27})?

Class 10 · Mathematics

Which number is the simplified form of (\sqrt{27}+\sqrt{12})?

Class 10 · Mathematics

Which statement is correct for (\sqrt{12})?

Class 12 · Mathematics

On the set (A={1,2,3,4}), relation (R) is defined by (aRb) when (a) and (b) are both even or both odd. What type of relation is (R)?

Class 12 · Mathematics

Which three properties are required for a relation on a set to be called an equivalence relation?

Class 10 · Mathematics

A class has (84) pencils and (126) erasers. They are to be divided into the maximum number of identical packets. How many packets can be made?

Class 12 · Mathematics

On (A={1,2,3,4}), (R={(1,4),(4,1),(1,1),(4,4),(2,3),(3,2)}). Which missing pair is clearly needed to make it transitive?