Which of the following is not a type of binary operation?
Understanding this is easy: complete solution: write formula, plug data, do arithmetic. Final value matches Transitive. Simple and accurate.
Ref: NCERT Mathematics Class XI and XII
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Let ‘*’ be a binary operation defined by a * b = 3ab + 5. Find 8 * 3.
Notice that complete solution: write formula, plug data, do arithmetic. Final value matches 1541. Simple and accurate.
Ref: NCERT Mathematics Class XI and XII
Let ‘*’ be a binary operation defined by a * b = 4ab. Find (a * b) * a.
We know that we verify 16a² b by full calculation: use standard identity, substitute, simplify step by step to reach 16a² b.
Ref: NCERT Mathematics Class XI and XII
Let ‘*’ be defined on the set N. Which of the following are both commutative and associative?
The trick is using formula we get a * b = a + b. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get a * b = a + b.
Ref: NCERT Mathematics Class XI — Sets, Relations and Functions
Let ‘*’ be a binary operation on N defined by a * b =a - b + ab², then find 4 * 5.
Look at it this way: after simplifying, 99 is left. The method is simple: formula → substitution → calculation → answer.
Ref: NCERT Mathematics Class XI and XII
Let a binary operation ‘*’ be defined on a set A. The operation will be commutative if ________
Understanding this is easy: we verify a * b = b * a by full calculation: use standard identity, substitute, simplify step by step to reach a * b = b * a.
Ref: NCERT Mathematics Class XI — Sets, Relations and Functions
If * is a operation on A = - 1, 1 such that a * b = ab ∀ a, b ∈ A then find the identity element of A with respect to op
Simply put, using formula we get 1. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get 1.
Ref: NCERT Mathematics Class XI — Sets, Relations and Functions
