Let * be a binary operation on the set of real numbers defined by a * b = 2a - b. What is the value of 3 * (4 * 2)?
Consider the binary operation * defined on the set of integers by a * b = a + 2b. What is the result of (3 * 2) * 4?
1 Crore+ students have signed up on EduRev. Have you? Download the App |
Let ⊗ be a binary operation on the set of rational numbers defined by a ⊗ b = ab + a. What is the identity element for this operation?
For a binary operation * on a set, if a * b = b * a for all elements a and b in the set, the operation is said to be:
Consider the binary operation ∘ defined on the set of real numbers by a ∘ b = a2 + 2ab + b2. What is the value of 2 ∘ (3 ∘ 4)?
Let @ be a binary operation on the set of integers defined by a @ b = |a - b|. Which property does this operation satisfy?
Consider the binary operation ⊕ defined on the set of natural numbers by a ⊕ b = a2 - b2. Which property does this operation satisfy?
Let * be a binary operation on a set, and a be any element in the set. If there exists an element b such that a * b = a, then b is called:
Consider the binary operation ○ defined on the set of rational numbers by a ○ b = ab - b. Which property does this operation satisfy?
Let * be a binary operation on the set of integers defined by a * b = a + b + ab. Which property does this operation satisfy?