Q4 of 123 Page 3

Mark the correct alternative in each of the following:
If the binary operation * on Z is defined by a * b = a² – b² + ab + 4, then value of (2 * 3) * 4 is

Given that a * b = a² – b² + ab + 4

To calculate (2 * 3) * 4

⇒ 2 * 3 = 2² – 3² + 2.3 + 4 = 5

⇒ (2 * 3) * 4 = 5 * 4

⇒ 5 * 4 = 5² – 4² + 5.4 + 4

= 33

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

Mark the correct alternative in each of the following:

For the binary operation * on Z defined by a * b = a + b + 1 the identity element is

Mark the correct alternative in each of the following:

If a binary operation * is defined on the set Z of integers as a * b = 3a – b, then the value of (2 * 3) *4 is

Mark the correct alternative in each of the following:If the binary operation * on Z is defined by a * b = a2 – b2 + ab + 4, then value of (2 * 3) * 4 is