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

Total Price: R

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

Get extra R 550 off


The number of quadratic equations ax2+bx+c=0 such that ax2+bx+c+k=0 has two distinct positive roots for each k,where k is real

7 years ago


Answers : (1)


Dear sudarshan gupta, 

Given, ax2+bx+c+k=0, has two distinct positive roots for each k, where k is real

let, p,q be those  roots

then p and q are distinct and positive, hence product should be always positive for all real k

but pq=(c+k)/a, which can take both positive and negative values as k changes.

So there will be no quadratic equation ax2+bx+c = 0, such that ax2+bx+c+k=0 has 2 distinct positive roots for each real k.



Please feel free to post as many doubts on our discussion forum as you can. If you find any question

Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We

are all IITians and here to help you in your IIT JEE preparation. All the best sudarshan gupta



Askiitians Experts




7 years ago

Post Your Answer

Other Related Questions on Algebra

how does it implies that a real number is rational if x ½ is rational?
Please put the complete question. Here no reference is given about x.
Harsh Patodia one month ago
what is GIF{greater integer function} [x]?? what is meant by {x}??
There are many integer smaller than a particular number and the integer greatest in those set of smaller integer is called greatest integer and the function which do so is called GIF....
Suyash Karn one month ago
Most common sequence and series questions that come in entrance exams
@ nikita WHAT EXACTLY U WANT TO KNOW ?? i am sorry there is no attachment in the question , kindly attach the ques in which u have problems . and the most imp topics in that chap is sum of...
Umakant biswal one month ago
A line is such that its segment between the straight lines 5x-y-4=0 and 3x-4y-4=0 is bisected at the point (1,5).obtain the equation
assume the eqn. of line be y = mx + c it has two constants m and c . after passing the points from (1,5) the eqn. becomes, 5 = m + c ….........................................(1) let this...
Vikas TU 2 months ago
What is the ranges and domains of hyperbolic sine and cosine functions.please give a hint to derive this with explanations
For sinhx range and domain are equal and is equal to all real numbers.but for coshx domains is r but range is [1,infinity)
H AGGARWAL 9 months ago
View all Questions »

  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details
Get extra R 3,750 off

Get extra R 550 off

More Questions On Algebra

Ask Experts

Have any Question? Ask Experts

Post Question

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