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Class 12 · Mathematics

On (A={1,2,3,4,5}), (aRb) if and only if (|a-b|\le2). Choose the correct statement.

Class 12 · Mathematics

On (A={1,2,3,4,6}), (aRb) if and only if (a\mid b). What type of relation is it?

Class 12 · Mathematics

On (A={1,2,3,4}), the relation (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,3),(1,3),(3,4),(1,4)}) is given. Choose the correct classification.

Class 12 · Mathematics

On (A={1,2,3,4}), (aRb) if and only if the difference between (a) and (b) is less than (3). Choose the correct statement.

Class 12 · Mathematics

If (R) and (S) are symmetric relations, choose the correct statement about (R\cup S).

Class 12 · Mathematics

Which relation on (A={1,2,3}) is symmetric and transitive but not reflexive?

Class 12 · Mathematics

On (A={1,2,3,4,5}), (aRb) if and only if the maximum of (a) and (b) is (5). Choose the correct statement.

Class 12 · Mathematics

On (A={1,2,3,4,5}), (aRb) if and only if the minimum of (a) and (b) is (2). Choose the correct classification.

Class 12 · Mathematics

On (A={1,2,3,4}), which minimum pair must be added to (R={(1,2),(2,1),(3,4)}) to make it symmetric?

Class 12 · Mathematics

On (A={1,2,3}), what is the smallest symmetric extension of (R={(1,2),(2,1),(2,3),(3,2)})?

Class 12 · Mathematics

A relation (R) on a set is symmetric. What is correct about its inverse relation (R^{-1})?

Class 12 · Mathematics

On (A={1,2,3}), (R={(1,1),(1,2),(2,2),(2,3),(1,3),(3,3)}). Choose the correct conclusion.

Class 12 · Mathematics

On real numbers, (aRb) if and only if (a+b=0). Choose the correct statement.

Class 12 · Mathematics

On (A={1,2,3,4,5}), (aRb) if and only if both (a) and (b) are less than (5). Choose the correct classification.

Class 12 · Mathematics

On (A={1,2,3,4}), (aRb) if and only if (a=b) or (|a-b|=1). Choose the correct statement.

Class 12 · Mathematics

On (A={1,2,3}), (R={(1,1),(2,2),(1,2),(2,1)}). Choose the correct classification.

Class 12 · Mathematics

On (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(2,4),(4,2)}). Choose the correct statement.

Class 12 · Mathematics

On real numbers, (aRb) if and only if (a-b\ge0). Choose the correct conclusion.

Class 12 · Mathematics

On (A={1,2,3,4}), (R={(1,2),(2,3),(1,3),(3,4),(1,4),(2,4)}). What type of relation is it?

Class 12 · Mathematics

If (A) has (5) elements, how many relations on (A) are both reflexive and symmetric?