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Class 12 · Mathematics · Medium

For (a*b=a+b-ab) on real numbers, which element does not have an inverse?

Class 12 · Mathematics · Medium

For (a*b=a+b+ab) on real numbers, which element does not have an inverse?

Class 12 · Mathematics · Medium

On integers, (a*b=ab). Does (2) have an inverse in integers?

Class 12 · Mathematics · Medium

On positive real numbers, (a*b=ab). What is the inverse of (5)?

Class 12 · Mathematics · Medium

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

Class 12 · Mathematics · Medium

On real numbers, (a*b=a+b-ab). What is the inverse of (3)?

Class 12 · Mathematics · Medium

On real numbers, (a*b=a+b+ab). What is the inverse of (3)?

Class 12 · Mathematics · Medium

If (a*b=a+b+4), what is the value of ((3*2)*1)?

Class 12 · Mathematics · Medium

If (a*b=a+b+4), what is the value of (3*(2*1))?

Class 12 · Mathematics · Medium

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

Class 12 · Mathematics · Medium

On real numbers, (a*b=a+b+4). Which is the correct inverse of (10)?

Class 12 · Mathematics · Medium

On real numbers, (a*b=a+b+4). What is the inverse of (10)?

Class 12 · Mathematics · Medium

On (A={1,2,3,4}), (a*b=\max(a,b)). Which statement is correct about the inverse of (2)?

Class 12 · Mathematics · Medium

On (A={1,2,3,4}), (a*b=\min(a+b,4)). Is this operation closed on (A)?

Class 12 · Mathematics · Medium

If (a*b=a+3b), which statement about (2*4) and (4*2) is correct?

Class 12 · Mathematics · Medium

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

Class 12 · Mathematics · Medium

For (a*b=a+b-ab) on real numbers, which is a useful rewritten form?

Class 12 · Mathematics · Medium

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

Class 12 · Mathematics · Medium

On (A={0,1,2}), (a*b) is the remainder when (ab) is divided by (3). What is the identity element?

Class 12 · Mathematics · Medium

On (A={0,1,2}), (a*b) is the remainder when (ab) is divided by (3). What is (2*2)?