CBSE Class 12-science Answered
If p,q,r are in arithmetic progression then show that
p2(q+r)+ q2(r+p)+ r2(p+q )=2/9(p+q+r)3
Asked by rushabhjain.a | 20 Nov, 2018, 11:13: AM
we need to prove, p2(q+r) + q2(r+p) + r2(p+q) = (2/9) ( p+q+r )3
let us substitute in LHS q = p+d and r=p+2d , where d is the common difference of A.P.
Then LHS = p2(2p+3d) + 2(p+d)2(p+d) + (p+2d)2(2p+d) = 6p3 + 18pd2 + 18pd2 + 6d3
RHS = (2/9)×(p+p+d+p+2d)3 = 6(p+d)3 = 6p3 + 18pd2 + 18pd2 + 6d3
Hence we proved LHS = RHS
Answered by Thiyagarajan K | 22 Nov, 2018, 23:18: PM
Application Videos
Concept Videos
CBSE 12-science - Maths
Asked by pranavbhu249 | 12 Jul, 2024, 21:53: PM
CBSE 12-science - Maths
Asked by chinnuambichinnuambi | 12 Jun, 2024, 19:07: PM
CBSE 12-science - Maths
Asked by nirbhaysingh16102004 | 12 Jun, 2024, 10:04: AM
CBSE 12-science - Maths
Asked by niharika198two | 11 Jun, 2024, 11:36: AM
CBSE 12-science - Maths
Asked by gunguncutem4 | 07 Jun, 2024, 20:02: PM
CBSE 12-science - Maths
Asked by dharnidharni278 | 06 Jun, 2024, 18:30: PM
CBSE 12-science - Maths
Asked by eswarvajrapu | 06 Jun, 2024, 00:37: AM
CBSE 12-science - Maths
Asked by laksitaprakash17 | 31 May, 2024, 23:10: PM
CBSE 12-science - Maths
Asked by anushkashr4 | 29 May, 2024, 09:09: AM