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Class 12 · Mathematics

On (A={1,2,3}), what type is the relation (R={(a,b):a=b})?

Class 12 · Mathematics

Which statement best explains the meaning of a symmetric relation?

Class 12 · Mathematics

If (R={(1,1),(2,2),(3,3)}), what type of relation is it?

Class 12 · Mathematics

In the matrix of a symmetric relation, if (m_{12}=1), which entry will also be (1)?

Class 12 · Mathematics

If the matrix of a relation is identical about the main diagonal, what type of relation is it?

Class 12 · Mathematics

If (R^{-1}=R), which conclusion is correct for (R)?

Class 12 · Mathematics

If R is symmetric, which statement about R⁻¹ is correct?

Class 12 · Mathematics

Why is the universal relation (A\times A) always symmetric?

Class 12 · Mathematics

Why is the empty relation considered symmetric?

Class 12 · Mathematics

If (R={(1,3),(3,1),(2,3)}), what should be added to make it symmetric?

Class 12 · Mathematics

If (R={(1,2),(2,1),(3,2),(2,3)}), what type is (R)?

Class 12 · Mathematics

While checking a symmetric relation, what should be checked first?

Class 12 · Mathematics

If (R) is symmetric and ((7,2)\in R), which conclusion is correct?

Class 12 · Mathematics

If a relation has only the pair ((4,4)), is it symmetric or not?

Class 12 · Mathematics

Which option gives a symmetric relation?

Class 12 · Mathematics

If (R={(1,1),(1,2),(2,1),(2,2)}), why is (R) symmetric?

Class 12 · Mathematics

For (R={(a,b):a-b\text{ is even}}) on (A={1,2,3}), which statement is correct?

Class 12 · Mathematics

On (A={1,2,3}), what type is the relation (R={(a,b):a+b\text{ is even}})?

Class 12 · Mathematics

If (R={(1,2),(2,1),(2,3)}), which pair should be added to make it symmetric?

Class 12 · Mathematics

If (A={1,2,3}) and (R={(1,1),(2,2),(1,3),(3,1)}), which statement about (R) is correct?