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Class 12 · Mathematics

If (a*b=2a+b) and (x*3=11), what is the value of (x)?

Class 12 · Mathematics

If (a*b=a+b+ab) and (x*2=8), what is the value of (x)?

Class 12 · Mathematics

If (a*b=ab+a+b), in which form can (a*b) be written?

Class 12 · Mathematics

If the identity element is (-2) for (a*b=a+b+2), what is the inverse of (5)?

Class 12 · Mathematics

If (a*b=a+b+2), what is the identity element?

Class 12 · Mathematics

If (a*b=a+b+2), what is the correct statement about associativity?

Class 12 · Mathematics

If (a*b=a+b+2), what is the value of (1*(2*3))?

Class 12 · Mathematics

If (a*b=a+b+2), what is the value of ((1*2)*3)?

Class 12 · Mathematics

If (a*b=a-b+ab), what is the correct conclusion using (1*2) and (2*1)?

Class 12 · Mathematics

If (a*b=a+b+ab), choose the correct statement about (a*b=b*a).

Class 12 · Mathematics

If (a*b=a+b-ab), why is this operation commutative?

Class 12 · Mathematics

If the identity element is (0) for (a*b=a+b-ab), what is the inverse of (3)?

Class 12 · Mathematics

If (a*b=a+b-ab), which statement about (0) is correct?

Class 12 · Mathematics

If (a*b=\frac{a+b}{2}), is this operation associative?

Class 12 · Mathematics

On real numbers, (a*b=\frac{a+b}{2}) is given. Is this operation commutative?

Class 12 · Mathematics

On rational numbers, (a*b=\frac{a+b}{2}) is given. Why is this operation closed?

Class 12 · Mathematics

On natural numbers, (a*b=a-b) is given. Which example disproves closure?

Class 12 · Mathematics

On integers, (a*b=a+b+1) is defined. Is this operation closed?

Class 12 · Mathematics

If the identity element is (0) for (a*b=a+b+2ab), what is the inverse of (1)?

Class 12 · Mathematics

If (a*b=a+b+2ab), what is the identity element?