Mark the correct alternative in each of the following: If a * b = a 2 + b 2 , then the value of (4 * 5) * 3 is

Given a * b = a2 + b2⇒ (4 * 5) * 3 = [(42 + 52)]*3= 41 * 3= 412 + 32

Q1 of 123 Page 3

Mark the correct alternative in each of the following:
If a * b = a² + b², then the value of (4 * 5) * 3 is

Given a * b = a² + b²

⇒ (4 * 5) * 3 = [(4² + 5²)]*3

= 41 * 3

= 41² + 3²

Let * be a binary operation on N given by a * b = HCF (a, b), a, b ∈ N. Write the value of 22 * 4.

Let * be a binary operation on set of integers I, defined by a * b = 2a + b –3. Find the value of 3 * 4.

Mark the correct alternative in each of the following:

If a * b denote the bigger among a and b and if a ⋅ b = (a * b) + 3, then 4.7 =

Mark the correct alternative in each of the following:

On the power set p of a non-empty set A, we define an operation Δ by

Then which are of the following statements is true about Δ