Learn QUADRATIC EQUATIONS from JEE Main Solutions #jeemains #jeemain2023 #jeemain

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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 2x3 - 9x2 + 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 2x2 + 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 3x2 + 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)

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[rohitchoudhary]

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[kartikjha]

The best way to teach in less time....
All the concepts of quadratic equations are now clear...
Any question can be solved of the same.
A lot of thanks to the channel..

[hritiksethi]

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

[rahulthaker]

You teach better for free than all those idiot coaching institutes taking so much money . Thank you so much .this channel should surely get big

[arhamkhan]

Maine complete video dekha h sir apne bahot acchee se explain kiya hai
Permutation or combination ka bhi upload kigiye sir
Pleases
Please

[curiosity-opinion]

Dear sir at 2.22 I think some mistake is happening but really I never seen this type of concept clearing video . you are doing well keep it up .Plase upload more video .Thanks sir

[ishamina]

Thanks sir mera quadratic revise ho gaya sir you are doing really good job .lss lockdown ma baccho ko online study ki bahed jarurat ha

[adeshtiwari]

Thank you so much sir for making this video with amazing concepts

[mahakshtrivedi]

SIR, I THINK THERE SHOULD BE A CORRECTION AT 2:21:00 BECAUSE COEFFICIENT OF K^2 will be 0. Please check it. Thank you.

[djshaan]

@1:25:00 even option 3 satisfies the eq

[Elnino]

Sir i am your biG fans
Yaar pata laga iitians itne ache kyu hote wo bhot mehnati or unko har ek chiz ka gyan hota ha
He is brilliant and better than unacadmy teachers

[Akshay-cuhc]

Awesome video sir concept clear ho gya

[indrajeetkumar]

Hello sir please upload coninc section

[sumitkumargupta]

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

[swavnasahoo]

This method of learning is more productive than hours and hours of theory without hands on experience. Amazing work sir!

[kamleshkumar-xuyu]

Really great sir. All questions are explained by sir is very good and awesome. Thanks a

[indrajeetkumar]

Please upload chapterwise solutions of 2019 papers

[billgates]

Hello sir please do free all videos in app
Because we want to learn more with you because you explain very well please sir

[mahakshtrivedi]

PLEASE UPLOAD VIDEOS ON QUESTIONS OF JEE MAIN OF COMPLEX NUMBER. THANK YOU.