MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
Grade:
        
If a,b,c are in H.P then a/b+c, b/c+a, c/a+b will be in
A.p
H.p
G.p
None
2 months ago

Answers : (2)

Arun
20887 Points
							
Dear Anvita
 
 

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

2 months ago
Samyak Jain
320 Points
							
Another method : It is given that a,b,c are in H.P.
By definition, 1/a , 1/b , 1/c are in A.P.
Multiply each term by a+b+c
(a+b+c)/a , (a+b+c)/b , (a+b+c)/c  are also in A.P.
i.e. 1 + (b+c)/a , 1 + (c+a)/b , 1 + (a+b)/c  are in A.P.
Subtracting 1 from each term, we get
(b+c)/a , (c+a)/b , (a+b)/c  are in A.P.
\therefore Their reciprocals a/(b+c), b/(c+a), c/(a+b) are in H.P.
2 months ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies


Course Features

  • 731 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 101 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details