NCERT Class 11 Mathematics Solutions: Chapter 9 –Sequences and Series Miscellaneous Exercise 9 Part 10

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arithmatic and Geometric means

Arithmatic and Geometric Means

arithmatic and Geometric means

1. The ratio of the A.M and G.M. of two positive numbers a and b, is . Show that

Answer:

Consider the two numbers be .

According to the given condition,

………….. eq (1)

Using this in the identity

…………… eq (2)

Adding eq (1) and (2)

Substituting the value of a in (1)

So,