MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: R

There are no items in this cart.
Continue Shopping
Menu
Get instant 20% OFF on Online Material.
coupon code: MOB20 | View Course list

  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details
Get extra R 6,000 off
USE CODE: SSP40

				   

let a, b and c are unequal real positive numbers such that 2b = a + c, then roots of ax^2 + 2bx + c = 0 are


(i) real and equal (ii) Real and distinct (iii) imaginary (iv) nothing definite can be said


Plz explain

5 years ago

Share

Answers : (3)

										

Dear student,


2b=a+c


Sum of the roots=-2b/a


Product=c/a


This shows the roots are real and distinct...








Please feel free to ask your queries here. We are all IITians and here to help you in your IIT JEE preparation.


All the best.


Win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.


Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar  respectively : Click here to download the toolbar..


 


Askiitians Expert


Sagar Singh


B.Tech, IIT Delhi


sagarsingh24.iitd@gmail.com







5 years ago
										

for any quadratic eq  ax2+bx+c roots are given by


 X = {-b+_ D)/2a


D =discriminant = (b2-4ac)1/2


our eq is ax2+2bx+c so


D = {(2b)2-4ac)1/2 ........1


2b = a+c  (given)


so , (2b)2 = (a+c)2 ...........2


putting  eq2 in eq1


D = { (a+c)2 - 4ac}1/2  =  { a2+c2-2ac}1/2 ={(a-c)2}1/2 =a-c


now roots are


 X = (-2b +_ D}/2a = {-2b + (a-c)}/2a     or        {-2b-(a-c)}/2a                                   


                           = -c/a                      or        -1                                  (on putting 2b =a+c )


so the roots are unequal & real


option (ii) is correct

5 years ago
										

the equation is ax^2+2bx+c=0


the discriminant is= B^2-4AC


A=a,B=2b,C=c


discriminant= 4b^2-4ac


but 2b=a+c, therefore (2b)^2=(a+c)^2


= (a+c)^2-4ac


=a^2+c^2+2ac-4ac


=a^2+c^2-2ac


=(a-c)^2, which is always greater than zero


therefore roots are real and distinct

5 years ago

Post Your Answer

I will be appearing for IITJEE-2016. I am very good at the concepts. But I am too slow. Any suggestions? How can I improve my speed?
 
 
Dear student, Please try to solve as many as questions as possible. By this definetly your speed will increase. Thanks.
  img
Vijay Mukati 10 months ago
 
Stay focused on your studies and keep in mind that one must focus on Physics, Chem and Maths, try to fortify these three, take some coaching classes from a reputed place like Akash Inst...
 
Ayushmaan Vardhan 10 months ago
 
the only way to improve your speed is by lots of practice and have one thing in mind and never think that your concepts are strong ther are many students whose concepts are upto msc level...
 
Prajwal Kavad 10 months ago
how maNY tyms a person could attempt the exam
 
 
JEE advanced can be attempted for maximum of 2 times. Thanks.
  img
Vijay Mukati 10 months ago
 
Three attempt for JEE mains. Thanks
  img
Vijay Mukati 10 months ago
 
One can attempt JEE mains for thrice and Jee advance for twice and that too in subsequent years back to back, and you may follow these tips for preparation –Stay focused on your studies and ...
 
Ayushmaan Vardhan 10 months ago
how should we prepare for iit-jee exam,schedule.
 
 
You should join any good institute who will make you ready for the exam. Also make the proper plan and daily schedule. Devote you maximum time in its preparation. Thanks.
  img
Vijay Mukati 10 months ago
 
Stay focused on your studies and keep in mind that one must focus on Physics, Chem and Maths, try to fortify these three, take some coaching classes from a reputed place like Akash Inst...
 
Ayushmaan Vardhan 10 months ago
 
Try to make out what are the weaker points in the field of PCM, work harder on them, download concerned topic papers and practice them, define a proper time for practice, join some reputed...
 
Soneel Verma 10 months ago
which molecule is more polar. H-F or H-Br? In terms of electronegativity, F is more electronegative than Br, hence it attracts the shaired pair of electrons closer than Br, hence HF should...
 
 
Dipole moment= q*d (charge*distance) Here H-F molecule is more polar since electronegativity dominates in case of halogens. Thus the treand of dipole moment is H-F (1.8D) >H-Cl...
  img
Bhavya 2 months ago
Sir am belongs to telangana state and am studying in andhra pradesh state in a course of pre university course now am in 2 nd year of this p.u.course then, for which state i will be a local ...
 
 
Hello Prapul Your origianl nativity is TS but you are studing in AP. you will get local category under AP only
 
Gaddam Chethan 4 months ago
 
hello, you belongs to the ap state….….….….….….….….….….….….….….….….….….….….….….….….….….….….….….….….............................
 
raj kumar one month ago
 
u comes under AP because your puc acedemic records are in andhra ...so you should attempt JEEMAINS as andhra student....
 
kalyan 8 months ago
I have got 85% in CBSE Board and expecting 86-90 marks in JEE MAIN also i belong to OBC category.What colleges can i expect a seat?
 
 
Dear student, Pls check ur rank using our rank calculator http://www.askiitians.com/iit-jee/main/rank-predictor.html Thanks
  img
Nishant Vora one month ago
View all Questions »

  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details
Get extra R 6,000 off
USE CODE: SSP40

  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details

Get extra R 6,000 off
USE CODE: SSP40

More Questions On IIT JEE Entrance Exam

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!!
Click Here for details