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3. Binary Operations
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Q2 of 123 Page 3

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 =


Given that a * b denote the bigger among a and b


and a ⋅ b = (a * b) + 3


⇒ 4 ⋅ 7 = (4 * 7) + 3


Now as 7 > 4


⇒ (4 * 7) + 3 = 7 + 3


= 10

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20

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

1

Mark the correct alternative in each of the following:

If a * b = a2 + b2, then the value of (4 * 5) * 3 is


3

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


4

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


Questions · 123
3. Binary Operations
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