CBSE (Arts) Class 11CBSE
Share
Notifications

View all notifications

The Ratio of the A.M and G.M. of Two Positive Numbers A And B, Is M: N. Show that `A:B = (M + Sqrt(N^2 - N^2)):(M - Sqrt(M^2 - N^2))`. - CBSE (Arts) Class 11 - Mathematics

Login
Create free account


      Forgot password?

Question

The ratio of the A.M and G.M. of two positive numbers a and b, is m: n. Show that `a:b = (m + sqrt(n^2 - n^2)):(m - sqrt(m^2 - n^2))`.

Solution

Let the two numbers be a and b.

Adding (1) and (2), we obtain

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 11 (2018 to Current)
Chapter 9: Sequences and Series
Q: 19 | Page no. 200
Solution The Ratio of the A.M and G.M. of Two Positive Numbers A And B, Is M: N. Show that `A:B = (M + Sqrt(N^2 - N^2)):(M - Sqrt(M^2 - N^2))`. Concept: Relationship Between A.M. and G.M..
S
View in app×