badge image

Enroll For Free Now & Improve Your Performance.

×
User Icon
User Icon
User Icon
User Icon
User Icon

Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
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: 11

                        

If a,b,c in A.P. prove that. a×a(b+c),b×b(c+a),c×c(a+b) are in A.P.

3 years ago

Answers : (1)

Arun
24742 Points
							

Given, a,b and c are in A.P.

a2(b + c), b2(c + a), c2(a + b) will be in A.P.

if b2(c + a) – a2(b + c) = c2(a + b) – b2(c + a)

i.e., if c(b2 – a2) + ab(b – a) = a(c2 – b2) + bc(c– b)

i.e., if (b – a)(ab + bc + ca) = (c – b)(ab + bc + ca)

i.e., if b – a = – b

i.e., if 2b = a + c

i.e., if abare in A.P.

Thus, if abc are in A.P. then a2(b + c), b2(c + a), c2(a + b) will also be in A.P.

3 years 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