Prove that a/b+c-a, b/a+c-b, c/a+b-c are in h.p, Mathematics

Assignment Help:

a, b,c are in h.p prove that a/b+c-a, b/a+c-b, c/a+b-c are in h.p


To prove:

(b+c-a)/a; (a+c-b)/b; (a+b-c)/c are in A.P

or

(b+c)/a; (a+c)/b; (a+b)/c are in A.P

or

1/a; 1/b; 1/c are in A.P

which is the given condition.


Related Discussions:- Prove that a/b+c-a, b/a+c-b, c/a+b-c are in h.p

Evaluate indefinite integrals, Evaluate following indefinite integrals. ...

Evaluate following indefinite integrals.  (a) ∫ 5t 3 -10t -6 + 4 dt  (b) ∫ dy Solution  (a) ∫ 5t 3 -10t -6 + 4 dt There's not whole lot to do here other than u

Linear programming , A paper mill produces two grades of paper viz., X and ...

A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper i

Numeration, which of these is between 5,945,089 and 5,956,108

which of these is between 5,945,089 and 5,956,108

How many years will it take him to pay off the loan, Joe took out a car loa...

Joe took out a car loan for $12,000. He paid $4,800 in interest at a rate of 8% per year. How many years will it take him to pay off the loan? Using the easy interest formula I

Counters and registers, design a synchronous, recycling, MOD-12 counter wit...

design a synchronous, recycling, MOD-12 counter with D FF''s. Use the states 0000 through 1011 in the counter.

GCF, Find the GCF of 70 and 112

Find the GCF of 70 and 112

Math, The Timbuktu post office has only 3 cents and 7 cents stamps having r...

The Timbuktu post office has only 3 cents and 7 cents stamps having run out of all other denominations. What are the six amounts of postage that cannot be created? How do you know

Fractions, how do you multiply fractions

how do you multiply fractions

Example of circles - common polar coordinate graphs, Example of Circles - C...

Example of Circles - Common Polar Coordinate Graphs Example: Graph r = 7, r = 4 cos θ, and r = -7 sin θ on similar axis system. Solution The very first one is a circle

Rolles theorem, Rolle's Theorem  Assume f(x) is a function which satis...

Rolle's Theorem  Assume f(x) is a function which satisfies all of the following. 1. f(x) is continuous in the closed interval [a,b]. 2. f(x) is differentiable in the ope

5/17/2013 3:53:15 AM

Thanks for suggesting me this answer, appreciate your knowledge.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd