NCERT Class 11 Mathematics Solutions: Chapter 9 – Sequences and Series Miscellaneous Exercise 9 Part 10 (For CBSE, ICSE, IAS, NET, NRA 2022)

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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,