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If a and G Be A.M. and G.M., Respectively Between Two Positive Numbers, Prove that the Numbers Are A+- Sqrt((A+G)(A-g)) - CBSE (Arts) Class 11 - Mathematics

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Question

If A and G be A.M. and G.M., respectively between two positive numbers, prove that the numbers are `A+- sqrt((A+G)(A-G))`

Solution

It is given that A and G are A.M. and G.M. between two positive numbers. Let these two positive numbers be a and b.

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 11 (2018 to Current)
Chapter 9: Sequences and Series
Q: 29 | Page no. 193
Solution If a and G Be A.M. and G.M., Respectively Between Two Positive Numbers, Prove that the Numbers Are A+- Sqrt((A+G)(A-g)) Concept: Relationship Between A.M. and G.M..
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