×

#### Thank you for registering.

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

Click to Chat

1800-1023-196

+91-120-4616500

CART 0

• 0

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
```
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.
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

Arun
25768 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 = c – bi.e., if 2b = a + ci.e., if a, b, c are in A.P.Thus, if a, b, c 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 ?

## Other Related Questions on Algebra

View all Questions »

### 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