CBSE Class 10 Answered
Find four numbers in AP whose sum is 20 and sum of whose square is 120.
Asked by prasadnidhi | 01 Nov, 2010, 12:00: AM
Expert Answer
Dear Student
Let a-3d,a-d,a+d,a+3d be 4 noumbers in Ap
According to given condition
(a-3d)+(a-d)+(a+d)+(a+3d) =20
so 4a =20 or a =5
Again
(a-3d)2+(a-d)2+(a+d)2+(a+3d)2=120
2(a2+9d2)+2(a2+d2) =120
2a2+10d2=60 or a2+5d2=30
Using a = 5 we get
5d2=5 or d = +1 or -1
So AP is 2,4,6,8 or 8,6,4,2
Regrads
Team Topper
Answered by | 01 Nov, 2010, 09:32: AM
Application Videos
Concept Videos
CBSE 10 - Maths
Asked by purbashadebnath1980 | 09 Mar, 2024, 12:10: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by deepikaselvam2009 | 20 Feb, 2024, 08:57: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by keshavsinghalhapur | 16 Jan, 2024, 08:46: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by keshavsinghalhapur | 15 Jan, 2024, 10:56: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by durgauikey7000 | 08 Dec, 2023, 08:16: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by skandachiranjeevin | 06 Dec, 2023, 07:08: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by shaikhyakub9946 | 30 Nov, 2023, 11:50: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by prassanna.j | 13 Nov, 2023, 11:24: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by prassanna.j | 13 Nov, 2023, 11:23: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by latayadav23 | 17 Oct, 2023, 08:39: PM
ANSWERED BY EXPERT