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 lnk )- 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
I was dying waiting for this
Thanks
Sir what is next
thankyou. so much
humble request for advance probability
Sir ap bht great ho
Sir complex number
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…..??
Sir pls upload this on app as well
Sir for jee mains probability questions also pls
Thanks sir
Upload more
Sir next chapter
When will u upload
Wowowowow
Thanks Again
Sir, take up Phy and chem next plsss
Sir please make video on differential equations CBSE BOARD EXAM
Amazing..God bless you sir..thankyou for helping jee aspirants..thankyou☺
Sir make video of Vector 3D
sir please upload permutation and combination yearwise
Very helpful video.
Probability karba do
???
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..
such a good explaination i watched the whole video
Thnx for such video
Sir please upload videos on vector and 3D.please sir a very humble request.
What is name of song in starting??
2:21:00
Sir the equation you wrote was incorrect
It should be 8k-8>=0
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}.
sir pls take make jee mains part wise test
Download COACHengg App for JEE Main Questions with Answer Key
https://play.google.com/store/apps/details?id=com.rdnc.coachengg
Sir can I ask any doubt questions in app
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.
where is chemistry?
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.
sir, in question jee main 2016 , you have discussed that we have no need to solve quadratic but it may become 0^0 too
Sir a lot of thanks to you from bottom of my heart.
Thank you I love ur work very much
This method of learn concept is unique this will help me plz make these types of video we love u guys
sir plz upload vectors quick revision videos
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.
really a great work sir.. lots of love
Sir please continue this series