# JEE Main Problems | QUADRATIC EQUATIONS | 2013 to 2017 | Chapterwise Solutions - Videos

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In this video, we will discuss previous year JEE Main questions of the chapter QUADRATIC EQUATIONS (questions from year 2013 to 2017).
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JEE Main 2013 Online
If α and β are the root of the equation x2 + px + 3p/4 = 0 such that |α-β|=√10, then p belongs to the set
(1) {2, -5} (2) {-3, 2} (3) {-2, 5} (4) {3, -5}

JEE Main 2014
Let α and β be the roots of the equation px2 + qx + r = 0, p ≠ 0. If p, q, r are in AP, and 1/α + 1/β = 4, then the value of |α-β| is equal to

JEE Main 2014 B. Arch.
If the roots of the equation 1/(x+p)+1/(x+q)=1/r are equal in magnitude and opposite in sign, then the
product of the roots is
(1) -(p^2-q^2 )/2 (2) (p^2+q^2 ) (3) (p^2-q^2 )/2 (4) -(p^2+q^2 )/2

JEE Main 2014 Online
If α and β are the roots of the equation x2 – 4√2kx + 2 e^(4 ln⁡k )- 1 = 0, for some k. If α^2+β^2=66, then α^3+β^3 is equal to

JEE Main 2017 B. Arch.
If λ_1 and λ_2 are the two values of λ such that the roots α and β of the quadratic equation
λ(x^2-x)+x+5=0 satisfy: α/β + β/α + 4/5 =0, then λ_1/〖λ_2〗^2 + λ_2/〖λ_1〗^2 is equal to
(1) 488 (2) 536 (3) 512 (4) 504

JEE Main 2015
Let α and β be the roots of the equation x^2-6x-2=0. If a_n=α^n-β^n. Then (a_10-2a_8)/(2a_9 )=
(1) 6 (2) -6 (3) 3 (4) -3

JEE Main 2017 B. Arch. Paper 2
The sum of the abscissa of the points where the curves, y = kx2 + (5k + 3) x + 6k + 5, (k ∈ R), touch the x-axis, is equal to

JEE Main 2016 B. Arch. Paper 2
The number of integral values of m for which the equation, (1 + m2) x2 – 2(1 + 3m)x + (1 + 8m) = 0, has no real root, is:
(1) 1 (2) 2 (3) 3 (4) infinitely many

JEE Main 2013 Online
If p and q are non-zero real numbers and α^3+β^3=-p, αβ=q, then a quadratic equation whose roots are α^2/β and β^2/α is:

JEE Main 2014 Online
If 1/√α and 1/√β are the roots of the equation ax2 + bx + 1 = 0, (a ≠ 0, a, b ∈ R), then the equation
x(x + b3) + (a3 – 3abx) = 0 has roots:
(1) α^(3/2),β^(3/2) (2) αβ^(1/2),α^(1/2) β (3) √αβ,αβ (4) α^(-3/2),β^(-3/2)

JEE Main 2017
If, for a positive integer n, the quadratic equation, x(x + 1) + (x + 1)(x + 2) +…..+ (x + n – 1)(x + n) = 10n has two consecutive integral solutions, then n is equal to

JEE Main 2015 Online
If the two roots of the equation, (a – 1)(x4 + x2 + 1) + (a + 1)(x2 + x + 1)2 = 0 are real and distinct, then the set of all values of ‘a’ is:

JEE Main 2014 Online
The sum of the roots of the equation x^2+|2x-3|-4=0, is:
(1) 2 (2) -2 (3) √2 (4) -√2

JEE Main 2016
The sum of all real values of x satisfying this equation (x^2-5x+5)^((x^2+4x-60) )=1 is
(1) – 4 (2) 6 (3) 5 (4) 3

JEE Main 2015 Online
If 2 + 3i is one of the roots of the equation 2×3 – 9×2 + kx – 13 = 0, k ∈ R, then real root of this equation
(1) exists and is equal to 1 (2) exists and is equal to –1/2
(3) exists and is equal to 1/2 (4) does not exist

JEE Main 2014 Online
If the equations 2×2 + 3x + 4 = 0 and ax2 + bx + c = 0, a,b,c ∈ R, a ≠ 0, have a common root, then a : b : c is
(1) 1 : 2 : 3 (2) 2 : 3 : 4 (3) 4 : 3 : 2 (4) 3 : 2 : 1

JEE Main 2016 Online
If equations x2 + bx -1 = 0 and x2+ x+ b = 0 have a common root different from -1, then |b| is equal to
(1) √2 (2) 2 (3) √3 (4) 3

JEE Main 2013 Online
The value of “a” for which one root of the equation x2 – (a + 1)x + (a2 + a – 8) = 0 exceeds 2, and other is lesser than 2, are given by

JEE Main 2013 B. Arch. Paper 2
If the quadratic equation 3×2 + 2(a2 + 1)x + (a2 – 3a + 2) = 0 possess roots of opposite signs, then “a” lies in the interval

JEE Main 2015 B. Arch. Paper 2
The values of k for which each root of the equation, x2 – 6kx + 2 – 2k + 9k2 = 0 is greater than 3, always satisfy the inequality :

JEE Main 2014 Online
Let p(x) be a quadratic polynomial such that p(0) = 1. If p(x) leaves remainder 4 when divided by (x – 1) and it leaves remainder 6 when divided by (x + 1), then:
(1) p(2) = 11 (2) p(2) = 19 (3) p(-2) = 19 (4) p(-2) = 11

JEE Main 2014
If a ∈ R and the equation -3(x – [x])2 + 2(x – [x]) + a2 = 0 (where [x] denotes greatest integer less than equal to x) has no integral solution, then all the possible values of a lies in the interval
(1) (-2, -1) (2) (-∞, -2) ∪ (2, ∞) (3) (-1, 0) ∪ (0, 1) (4) (1, 2)

source

1. Jaival Singh

I was dying waiting for this
Thanks

2. Jaival Singh

Sir what is next

3. Raju lohar

thankyou. so much

4. Ram kumar

Sir complex number

5. Hello sir ….
Sir … I have a doubt regarding JEE Main 2018
……. Actually in school I am in General category but I Have my OBC certificate from UP. Should I choose OBC category while filling JEE mains 2018 appl.form.

In future will it be any problem while taking admission in Colleges because they wil see in my 12th report card that I am in General category but used OBC benefits in JEE MaiN exam…..??

6. shubham ranjan

Sir pls upload this on app as well

7. Jainil Soni

Sir for jee mains probability questions also pls

8. Ankur Upadhyay

Thanks sir

10. jogesh rao

Sir next chapter

11. jogesh rao

12. kapish Singh

Wowowowow

13. Abel C Dixon

Thanks Again

14. Fatima Mirza

Sir, take up Phy and chem next plsss

15. Om Gupta

Sir please make video on differential equations CBSE BOARD EXAM

16. hritik sethi

Amazing..God bless you sir..thankyou for helping jee aspirants..thankyou☺

17. Subhash Kumar

Sir make video of Vector 3D

18. faraz ahmad

19. rishi kumar

20. Yash Jain

Probability karba do

21. abhishek yadav

???

22. hritik sethi

Hello sir.please tell me that solving ncert exercise of physics will be benefitial? I want to score 70 marks in Physics section of jee mains.
Also,please tell that by doing objective RD SHARMA thoroughly.can i score 70 marks in jee main maths..

23. Tushar Abbott

such a good explaination i watched the whole video

24. Anshu kumar

Thnx for such video

25. Shivam Mishra

26. Hari Krishna Sai

What is name of song in starting??

27. Yogesh Kumar

2:21:00

Sir the equation you wrote was incorrect
It should be 8k-8>=0

28. Yogesh Kumar

In the last question the statement was that it has no integral solution. It means it can have complex solutions. So 'a' should be element of R-{0}.

29. Revisions IIT

sir pls take make jee mains part wise test

30. Pankaj Mondal

Sir can I ask any doubt questions in app

31. Zoya Ahmad

Sir agar maine 1 chapter ko 11th me bahut ache se pada aur ush par 800 questions bhi practice kiya but Sir is ise neet ke exams tak saare concept questions yaad kaise rahega kyu ki aage ke bhi chapters padne hai kaise retained rahega 2 saal tak.

32. Harsh Kumar

where is chemistry?

33. abhishek sharma

Sir,iam regularly watching all your vedios and thanks for giving topic wise description…sir can you give some assignments based on jee main previous year's 2013-17 and list of topics from which question are constantly asked in mains exam.

34. Shivam Sharma

sir, in question jee main 2016 , you have discussed that we have no need to solve quadratic but it may become 0^0 too

35. Sumit Gupta

Sir a lot of thanks to you from bottom of my heart.

36. anjanay raina

Thank you I love ur work very much

37. Clash As Beast

This method of learn concept is unique this will help me plz make these types of video we love u guys

38. subhash goud

sir plz upload vectors quick revision videos

39. Kuldeep Singh

Sir, I did not find jee main online last year Q's anywhere. Please help me. I want all the last year Q's of jee mains online of PCM. Since I have opted for CBT Exam.

40. viresh kumar

really a great work sir.. lots of love

41. Ankur Upadhyay