Question

if (b+c), (c+a), (a+b) are in hp, then prove that a/(b+c), b/(c+a), c/(a+b) are in ap​

Answer 1

Answer:

SAGAR SINGH - IIT DELHI

879 Points

Dear student,

a, b , c  are in H.P  

 we know  that  b =  2ac /  a+ c  

now  we have to prove that  a/ b+ c ,  b / c+ a , c / a + b are in h.p  

i .e  we  have  to prove that  b = 2ac / a+ c ---1

 

 

 

 

 

substitute value of  a+ c  from  --1  in above equation  

 

 

 

 

 

hence proved  these  are in h.p

Step-by-step explanation: