2136 Views

A quantity P equals the sum of three other quantity, the first of which is a constant, the second varies directly as x and the third varies directly as x square.when x=1;P=13,when x=2,p=36 and when x=3,p=79. Find the constant.


rishabh jain 12th Dec, 2019
Answer (1)
Avishek Dutta 12th Dec, 2019
Let p=a+b+c
Now a is constant
b is proportional to x
let b=Kx
And c is proportional to x^2
Hence c=mx^2
13=a+k+m ..i
as p=13 when x=1
36=a+2k+4m ..ii
as p=36 when x=2
79=a+3k+9m...iii
as p=79 when x=3
2*i-ii
-10=a-2m..iv
3*i-iii
-40=2a-6m or -20=a-3m..v
3*iv-2*v
10=a
Hence constant term is 10

Related Questions

Amity University, Noida Law A...
Apply
700+ Campus placements at top national and global law firms, corporates and judiciaries
Amity University Noida B.Tech...
Apply
Among Top 30 National Universities for Engineering (NIRF 2024) | 30+ Specializations | AI Powered Learning & State-of-the-Art Facilities
Amity University Noida MBA Ad...
Apply
Amongst top 3% universities globally (QS Rankings) | Ranked among top 10 B-Schools in India by multiple publications
Amity University, Noida BBA A...
Apply
Ranked amongst top 3% universities globally (QS Rankings)
MAHE Online MBA
Apply
Apply for Online MBA from Manipal Academy of Higher Education (MAHE)
FLAME University | MBA 2026
Apply
NAAC A++ Grade | MBA program graded A** (National) by CRISIL | AACSB, ACBSP and BGA Member
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books