Let p and q be roots of the equations x2 – 2x + A = 0 and let r and s be the roots of the equation x2 – 18 + B = 0. If p < q < r < s are in arithmetic progression the A = ………….. and B = ………… 

2 years ago


Answers : (3)


The answer is A=10 , B=63 

2 years ago

 here let p=a,q=a+r,r=a+2r,s=a+3r;

 then here p+q=2            =>2a+r=2

         also r+s=18           =>2a+5r=18

 solving we get r=4,a=-1;

p=-1, q=3, r=7, s=11

A=pq= -3, B=rs = 77;

2 years ago


P + Q = 2 , PQ=A ..............(1)

R + S = 18 , RS = B ...............(2)


SO , P=-1, Q=3 , R=7, S=11

SO, PQ= -3 = A

      RS= 77 = B 

2 years ago

Post Your Answer

More Questions On Discuss with colleagues and IITians

Ask Experts

Have any Question? Ask Experts
Post Question
Answer ‘n’ Earn
Attractive Gift
To Win!!!
Click Here for details
can you please suggest me whether to go for Metallurgical Engineering in Varanasi or join in Mech or ECE or EEE in NIT, Trichy or Suratkal in Karnataka or calicut. I am from Tamil Nadu.
Dear student, I would like to suggest that you join Mech or ECE in NIT as that will help you in future. Metallurgical has a very limited scope and unless you are willing to change your field...
Sumit Majumdar 2 months ago
Hello Student, I think you should go for ECE or EEE or Mech because they are better branches. Thanks & Regards Arun Kumar Btech, IIT Delhi Askiitians Faculty
Arun Kumar 3 months ago
Hello sir, This year my JEE-Advanced AIR is 12,500, BITSAT score is 280 and JEE-Main rank is 32,500. I belong to OBC category. I want to get selected in IIT. I cannot go to Kota for...
If that’s your choice of thriving for good IIT and a good branch then there is nothing wrong with it. But do keep in mind that with the decision you have just taken there comes a lot...
Aziz Alam 2 months ago
What to choose between IISC and NIT?
Depends on whether you like to pursue an academic or professional career. In simple terms, you will need to study later for PG after graduating from IISC while you can start working the next...
Harikrishnan M B 2 months ago
how should i prepare for mains in last 5 months, which books should be done regarding the three subjects
In the last 5 month the best way way is to revise and revise with agood amopunt of practise.At least two month before exam join any test series so that you can have confident abot the exam....
Sunil Kumar FP 9 days ago
please post correct question...
Amit Shekhar 19 days ago
View all Questions »