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Class 12 · Mathematics

On real numbers, define (aRb) if (a \le b). Is (R) transitive?

Class 12 · Mathematics

On the set of natural numbers, define (aRb) if (a) divides (b). What kind of relation is this?

Class 12 · Mathematics

On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,3)}). Which pair must be added to make (R) transitive?

Class 12 · Mathematics

The relation (R={(1,1),(1,2),(2,2)}) is given on (A={1,2}). Is (R) transitive?

Class 12 · Mathematics

On A={1,2,3}, let R={(1,2),(2,3)}. Why is R not transitive?

Class 12 · Mathematics

On (A={1,2,3}), (R={(1,2),(2,3),(1,3)}) is given. What is the nature of this relation?

Class 12 · Mathematics

A relation (R) on a set (A) is called transitive when which condition is true for all (a,b,c \in A)?

Class 11 · Political Science

Which statement explains a deep relationship between nationalism and civic responsibility?

Class 11 · Political Science

In which situation can a healthy relationship develop between nationalism and federalism?

Class 11 · Political Science

Which option shows the correct relationship between loyalty to the nation and constitutional morality?

Class 11 · Political Science

Which statement shows a mature understanding of the relationship between nationalism and humanity?

Class 11 · Political Science

Which is the most appropriate statement about the relationship between national identity and local identity?

Class 11 · Political Science

Which statement gives the most balanced understanding of the relationship between nationalism and democracy?

Class 12 · Mathematics

What is the first useful thing to check while testing transitivity?

Class 12 · Mathematics

Relation (R) is transitive. If (aRb) and (bRc), which statement is correct?

Class 12 · Mathematics

If ((4,6)\in R) and ((6,6)\in R), which pair does transitivity require?

Class 12 · Mathematics

If ((2,2)\in R) and ((2,5)\in R), which pair is needed for transitivity?

Class 12 · Mathematics

In which relation does the transitivity condition directly appear satisfied?

Class 12 · Mathematics

If (R) is transitive and ((1,2)), ((2,3)), ((1,3)) are all in (R), which conclusion is not necessary?

Class 12 · Mathematics

On (A={a,b,c}), (R={(a,b),(b,c),(c,a)}). Is (R) transitive?