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Class 12 · Mathematics · Medium
→If (a*b=a+kb) and (2*3=3*2) must hold for unequal values like (2,3), what is (k)?
Class 12 · Mathematics · Medium
→If (a*b=ka+b) and the operation is commutative, what should be the value of (k)?
Class 12 · Mathematics · Medium
→If (a*b=a+b+k) and the identity element is (-4), what is the value of (k)?
Class 12 · Mathematics · Medium
→If (a*b=a+b-k) and the identity element is (5), what is the value of (k)?
Class 12 · Mathematics · Medium
→If (a*b=a+b-1), what is the inverse of (4)?
Class 12 · Mathematics · Medium
→If (a*b=a+b-1), is this operation associative?
Class 12 · Mathematics · Medium
→If (a*b=a+b-1), is this operation commutative?
Class 12 · Mathematics · Medium
→If (a*b=a-b) is taken on the set of multiples of (5), what is the correct statement about closure?
Class 12 · Mathematics · Medium
→If (a*b=a+b) is taken on the set of multiples of (3), what type of operation is it?
Class 12 · Mathematics · Medium
→For (a*b=a+b) on the set of odd integers, what is the correct statement about closure?
Class 12 · Mathematics · Medium
→If (a*b=a+b) is taken on the set of even integers, what is the correct statement about closure?
Class 12 · Mathematics · Medium
→On (A={1,2,3,4}), (a*b) is defined as the smaller of (a) and (b). What is the value of (3*1)?
Class 12 · Mathematics · Medium
→On (A={1,2,3,4}), (a*b) is defined as the greater of (a) and (b). What is the value of (2*4)?
Class 12 · Mathematics · Medium
→If (a*b=\frac{a+b}{1+ab}), where (1+ab\neq 0), is this operation commutative?
Class 12 · Mathematics · Medium
→If (a*b=\frac{a+b}{1+ab}), where (1+ab\neq 0), what is the value of (1*2)?
Class 12 · Mathematics · Medium
→If (a*b=\frac{ab}{a+b}), where (a+b\neq 0), what is the value of (2*6)?
Class 12 · Mathematics · Medium
→If (a*b=|a-b|) and (x*4=3), which natural value of (x) is possible?
Class 12 · Mathematics · Medium
→If (a*b=a+b^2) and (x*3=15), what is the value of (x)?
Class 12 · Mathematics · Medium
→If (a*b=a^2+b) and (2*x=9), what is the value of (x)?
Class 12 · Mathematics · Medium
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