Answer :

To prove: Prove that a:b


Given: Arithmetic mean is twice of Geometric mean.


Formula used: (i) Arithmetic mean between


(ii) Geometric mean between


AM = 2(GM)



a + b = 4


Squaring both side


(a + b)2 = 16ab … (i)


We know that (a – b)2 = (a + b)2 – 4ab


From eqn. (i)


(a – b)2 = 16ab – 4ab


(a – b)2 = 12ab … (ii)


Dividing eqn. (i) and (ii)




Taking square root both side




Applying componendo and dividend





Hence Proved


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

The product of thRD Sharma - Mathematics

Express <imRS Aggarwal - Mathematics

If a, b, c are inRS Aggarwal - Mathematics

Express <imRS Aggarwal - Mathematics

Prove that RS Aggarwal - Mathematics

If a, b, c are inRS Aggarwal - Mathematics

The sum of n termRS Aggarwal - Mathematics

If a, b, c, d areRS Aggarwal - Mathematics

Evaluate :
</p
RS Aggarwal - Mathematics

The first term ofRS Aggarwal - Mathematics