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: 12th pass
        
 
if the pth qth and rth terms of an ap be a b and c respectively then show that a(q-r)+b(r-p)+c(p-q)=0
2 months ago

Answers : (1)

Vikas TU
9794 Points
							
Dear student 
Let a = first term of the AP.
and 
Let d = common difference of the AP
Now
a = A+(p-1).d.......(i)
b = A+(q-1).d.......(ii)
c = A+(r-1).d........(iii)
Subtracting 2nd from 1st , 3rd from 2nd and 1st from 3rd we get
a-b = (p-q).d......(iv)
b-c = (q-r).d........(v)
c-a = (r-p).d.......(vi)
multiply iv,v,vi by c,a,b respectively we have
c.(a-b) = c.(p-q).d......(vii)
a.(b-c) = a.(q-r).d........(viii)
b.(c-a) = b.(r-p).d.......(ix)
a(q-r).d+b(r-p).d+c(p-q).d = 0(a(q-r)+b(r-p)+c(p-q)).d = 0
Now since d is common difference it should be non zero
Hence
a(q-r)+b(r-p)+c(p-q)= 0
2 months ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies


Course Features

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


Course Features

  • 731 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