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

Share

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
                                        

I USE PUT & CHECK FORMULA IN THIS QUESTION.


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


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


-1,3,7,11 ARE IN A.P. SATISFYING THE RELATIONS (1) & (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
Vouchers
To Win!!!
Click Here for details
I’m new to IIT preparations while some of my peers are already studying for it since class 10 th . I’m presently in 11 th. So I wanted to ask you all how to crack this prestigious exams and...
 
 
You shouldn’t get low given the fact that your friends have started preparing for competitive exams 1 year before you.At the end of the day you need to beatthe paper,irrespective of...
  img
Aziz Alam 4 months ago
Sir in this question Prove that the vectors 3i+2j-2k,-i+3j+4k and 4i-j-6k can form a triangle. If we find the distance between the vectors and add them then we get zero so it is proved. But...
 
 
Hi, Use the colinearity condition. Three points must not be cloinear in order to form a triangle. The condition is the determinent is non zero if the vectors are forming a triangle. So solve...
  img
Yash Baheti 2 months ago
 
Hi, Use the colinearity condition. Three points must not be cloinear in order to form a triangle. The condition is the determinent is non zero if the vectors are forming a triangle. So solve...
  img
Yash Baheti 2 months ago
I have got air 53804 in jee main 14 and Iam from chandigarh . Should i should opt for production engg. or metallurgy in pec , any top branch in uiet , or mechanical in mnit jaipur?
 
 
Below, there is table with opening and closing ranks for PEC metallurgy and production for the year 2013.By that you have a good chance of getting metallurgy. Thanks & Regards Aziz Alam...
  img
Aziz Alam 5 months ago
sir this year i am giving ntse exam...but i am not taking classes for it...so sir kaise prepare karna hoga..
 
 
Most of thing will come from your school syllabus. First, you should focus on the school study, plus there is a book for NTSE exam by Tata Mcgraw hill. You should focus on the book as well....
  img
Jitender Singh 6 months ago
sir i have got air 75315 and state rank 20782, category obc rank 4454 and state rank 2438 in jee main. I did not got rank 2 nd round is over. I am from bihar will i get any NITs. If yes,...
 
 
you will get top nits.may be in 4 th or spot round..
 
Rak 5 months ago
 
if your obc category air is 4454.
 
Rak 5 months ago
SIR, WANT TO KNOW ABOUT SHIV NADAR UNIVERSITY FOR BTECH ADMISSIONS.IS IT WORTH GETTING THERE.
 
 
Hi, Shiv Nadar is one of the private universities amongst many other. It is very risky to go into any provate university as you dont know exactly about there placement prospects and other...
  img
Yash Baheti one month ago
View all Questions »