Let ∗′ be the binary operation on the set {1, 2, 3, 4, 5} defined by a ∗′ b = H.C.F. of a and b. Is the operation ∗′ same as the operation ∗ defined in Exercise 4 above? Justify your answer
Solution:
The binary operation on the set {1, 2, 3, 4, 5} is defined by
a *' b = H.C.F. of a and b.
The operation table for the operation *' can be given as:
| *' | 1 | 2 | 3 | 4 | 5 |
| 1 | 1 | 1 | 1 | 1 | 1 |
| 2 | 1 | 2 | 1 | 2 | 1 |
| 3 | 1 | 1 | 3 | 1 | 1 |
| 4 | 1 | 2 | 1 | 4 | 1 |
| 5 | 1 | 1 | 1 | 1 | 5 |
The operation table for the operations *' and * are the same. operation *' is the same as operation *
NCERT Solutions for Class 12 Maths - Chapter 1 Exercise 1.4 Question 5
Let ∗′ be the binary operation on the set {1, 2, 3, 4, 5} defined by a ∗′ b = H.C.F. of a and b. Is the operation ∗′ same as the operation ∗ defined in Exercise 4 above? Justify your answer
Summary:
The binary operation on the set {1, 2, 3, 4, 5} is defined by a *' b = H.C.F. of a and b. The operation table for the operations *' and * are the same. operation *' is the same as operation *
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