Problem: The lengths of two line segments are a units and b units respectively. Then the correct relation between them is:
Answer Choices:
A. 2(a+b)β>abβ
B. 2(a+b)β<abβ
C. 2(a+b)β=abβ
D. 2(a+b)ββ¦abβ
E. 2(a+b)ββ§abβ
Solution:
For aξ =b, Arithmetic Mean > Geometric Mean. For a=b, Arithmetic Mean = Geometric Mean.
β΄(a+b)/2β₯abβ