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
Which one is homestate rank in the jee rank card.
 
 
the rank stated in the state-overall rank column is your homstate rank..... but mind you the cut off ranks listed under homstate quota of any institute is the all india rank only...!
 
ankana verma 3 months ago
Can I do a career in CS field after Btech in mechanical.If not how can i be attached to computer field and technology.please answer as i got NITW Mech and waiting for 4 th round could be...
 
 
You can have a career in the field of CS even though you are not enrolled in CS. There are various applications of CS in mechanical engineering , you can focus your energy during your Btech...
  img
Aziz Alam 3 months ago
AIR 19558 No category.. Any chances of getting CIVIL in PEC?
 
 
The opening and the closing of Civil in PEC for 2013 was Gen 6827- 28958 So you have a pretty good chance of getting Civil in PEC. Thanks &Regards Aziz Alam IIT Roorkee askIITians...
  img
Aziz Alam 3 months ago
Sir , I got through BITS Goa dual degree and CSE in Jadavpur University . Which is a better option ?
 
 
Since,You havent mentioned branch in BITS Goa dual degree this question cannot be answered completely. But in dual degree one extra year you need to spend but thats not a problem,if you got...
  img
Ramreddy 3 months ago
May I know if I can opt for IIITDM JABALPUR-Mechanical or JNTU- AP state colleges ?
 
 
yes you can opt...
  img
Amit Shekhar one month ago
hello! software engg in dtu v/s cse in igdtuw also, what are the furture prospects of se regarding mtech
 
 
Although you are getting CSE in IGDTU but DTU is college of repute and has made it’s stand among all the odds.You will get great environment there and a lot to learn from seniors and...
  img
Sourabh Singh 3 months ago
View all Questions »