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Class 12 Mathematics के इस tag से जुड़े questions।

Class 12 · Mathematics

On (\mathbb{R}), (a*b=a^2+b). In which property does this operation fail?

Class 12 · Mathematics

On real numbers, (a*b=2a+3b) is defined. Is this operation commutative?

Class 12 · Mathematics

On natural numbers, (a*b=a-b) is defined. Why is it not a binary operation?

Class 12 · Mathematics

On natural numbers, (a*b=a^b) is defined. Which statement about commutativity of this operation is correct?

Class 12 · Mathematics

On positive real numbers, (a*b=\sqrt{ab}) is defined. Choose the correct statement about associativity of this operation.

Class 12 · Mathematics

On (\mathbb{R}-{0}), (a*b=\frac{a}{b}). What is the correct conclusion about associativity?

Class 12 · Mathematics

On (\mathbb{Z}), (a*b=\frac{a+b}{2}) is defined. Why is it not a binary operation?

Class 12 · Mathematics

On (\mathbb{R}), (a*b=a^2+b^2). Is this operation associative?

Class 12 · Mathematics

On (A={x\in\mathbb{Z}:x\text{ is even}}), (a*b=\frac{a+b}{2}). Is it a binary operation?

Class 12 · Mathematics

On (\mathbb{R}), (a*b=a+b+ab). On which set will this operation not be closed?

Class 12 · Mathematics

On real numbers, (a*b=a+2b). Which property does this operation not satisfy?

Class 12 · Mathematics

On natural numbers, (a*b=a+b-2). When does this operation fail to be closed on natural numbers?

Class 12 · Mathematics

On real numbers, (a*b=|a|b). Why is this operation not commutative?

Class 12 · Mathematics

On real numbers, (a*b=|a-b|). In which property does this operation fail?

Class 12 · Mathematics

On real numbers, (a*b=a^2+b^2). It is a binary operation, but which property generally fails?

Class 12 · Mathematics

On natural numbers, (a*b=a^b). Which property does this operation not satisfy?

Class 12 · Mathematics

On (A={-1,0,1}), (a*b=a+b-ab) is defined. Is it a binary operation on (A)?

Class 12 · Mathematics

On positive real numbers, (a*b=\sqrt{ab}) is defined. Is this operation associative?

Class 12 · Mathematics

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

Class 12 · Mathematics

On natural numbers, (a*b=a-b) is defined. Is this a binary operation?