2043 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

CLAT Current Affairs with GK ...
Apply
Stay updated with current affairs & check your preparation with the CLAT General Knowledge Mock Tests Ebook
CLAT English Language Mock Tests
Apply
Free Ebook - CLAT 2025 English Language questions with detailed solutions
ICFAI Business School-IBSAT 2024
Apply
9 IBS Campuses | Scholarships Worth Rs 10 CR
CLAT Legal Reasoning Mock Tests
Apply
Free Ebook - CLAT 2025 legal reasoning questions with detailed solutions
GIBS Business School Bangalor...
Apply
100% Placements with 220+ Companies
Great Lakes PGPM & PGDM 2025
Apply
Admissions Open | Globally Recognized by AACSB (US) & AMBA (UK) | 17.3 LPA Avg. CTC for PGPM 2024
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