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Class 12 · Mathematics · Medium

On integers, (a*b=a+b+4). What is the identity element of this operation?

Class 12 · Mathematics · Medium

On integers, (a*b=a+b+ab). What is the value of (2*3)?

Class 12 · Mathematics · Medium

If (a*b=a+b+ab), which form can be used to rewrite (a*b)?

Class 12 · Mathematics · Medium

On real numbers, (a*b=\frac{a+b}{2}). Does it have an identity element?

Class 12 · Mathematics · Medium

On natural numbers, (a*b=a+b). Is this operation closed on natural numbers?

Class 12 · Mathematics · Medium

On real numbers, (a*b=a+b-ab). What is the inverse of (2)?

Class 12 · Mathematics · Medium

On real numbers, (a*b=a^2+b^2). Is this operation associative?

Class 12 · Mathematics · Medium

On (A={0,1}), (a*b=a+b-ab). What is the value of (1*1)?

Class 12 · Mathematics · Medium

On integers, (a*b=a+b+ab). Which statement is correct about the inverse of (-1)?

Class 12 · Mathematics · Medium

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

Class 12 · Mathematics · Medium

On real numbers, (a*b=a+b+ab). Is this operation commutative?

Class 12 · Mathematics · Medium

If (a*b=a+b+ab), under what result condition do we find the inverse of (2)?

Class 12 · Mathematics · Medium

On integers, (a*b=a+b-3). What is the inverse element of (5)?

Class 12 · Mathematics · Medium

On real numbers, (a*b=a+b+2). What is the identity element of this operation?

Class 12 · Mathematics · Medium

If the operation (a*b) on (S={0,1,2,3}) is defined as the remainder when (a+b) is divided by (4), then is this operation closed on (S)?

Class 12 · Mathematics · Medium

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

Class 12 · Mathematics · Medium

If an operation on real numbers is defined by (a*b=a+b+ab), what is the value of (2*5)?

Class 12 · Mathematics · Easy

If a * b = a − b, what is the value of 5 * (2 * 1)?

Class 12 · Mathematics · Easy

If (a*b=2a+b), what is the value of (4*3)?

Class 12 · Mathematics · Easy

If (a*b=b), what is the value of (4*7)?