Location of Roots - Quadratic Equations Class 11 Maths (Ch-5) (Part-2) | JEE Main 2022 Preparations
🚀✍️ Download Chapter-wise Session Notes, FREE DPPs & Chapter Test PDFs Now⬇️ ✅ JEE Class 11 AIM Batch: https://bit.ly/3CsL0CX ✅ JEE Class 12 Excel Batch: https://bit.ly/3VlSxfz ✅ JEE Ranker's Batch: https://bit.ly/3EDhj4R In this series ""Rapid Revision Series"", our top educators will be explaining important concepts for JEE Main exam. In this session, Anshul Sir will be revising the concepts of Quadratic Equations for JEE Main with important questions. Today, We will be covering the Location of roots, Theory of Equations and much more. We at Aakash BYJU'S always strive to give you the best, so add this video to your study plans to amplify your chances of cracking the JEE Exam! 👉 Subscribe to "Aakash BYJU'S JEE" Channel: / @aakash_jee 👉 Follow us on Telegram for all the latest updates: https://t.me/JEEAakash 👉 Call us for JEE Courses related Queries: 🤙 8800839147 👉 Submit your details for JEE Coaching related Queries: https://byjus.com/aakash-online-apply... 👉 Install Aakash BYJU'S App for JEE Exam Preparation: https://aakashapp.byjus.com/youtube/jee 👉 Follow this one-stop sheet for all session-related details - Links, Notes, DPPs, Mind Maps & more! https://docs.google.com/spreadsheets/... 👉 JEE Preparation Latest Videos Playlist: • JEE Main & Advanced 2022 Exam Prepara... 👉 JEE Mathematics Preparation Latest Videos Playlist: • Class 12 Maths | Online LIVE Classes ... 👉 JEE Physics Preparation Latest Videos Playlist: • Class 12 Physics | Online LIVE Classe... 👉 JEE Chemistry Preparation Latest Videos Playlist: • Class 12 Chemistry | Online LIVE Clas... 0:00 Introduction to Quadratic Equation - 2 3:55 Location of Roots - Concept 6:34 Case I: Both roots are greater than k - Explanation 12:15 Question & Explanation: If the roots of x2. 17:52 Case II: Both roots are less than k - Explanation 19:36 Question & Explanation: If both the roots of x2 + 2ax + a = 0 are less than 2. 23:32 Case III: k lies between the two roots - Explanation 27:11 Question & Explanation: Find the range of p for which the number 6 lies between the roots. 32:53 Case IV: Both roots lies between k1 & k2 - Explanation 37:24 Question & Explanation: Find the intervals for all the values of m which both the roots. 42:45 Case V: k1 & k2 lie between both the roots - Explanation 44:58 Question & Explanation: If 3 and 4 lies between the roots of the equation 48:24 Case IV: Exactly one root lies between k1 & k2 - Explanation 57:02 Question & Explanation: The range of a for which the equation 59:41 Theory of Equations - Concept 1:02:11 Case I: If the degree is even, then the no. of real roots are also even. 1:03:07 Case II: If the degree is odd, then the no. of real roots is also odd. Infact, atleast one root is real. 1:05:02 Question & Explanation: The number of distinct common root(s) of the equations. 1:12:30 Sum and product of roots - Concept 1:12:30 Question & Explanation: If alpha and beta are the roots of equation. 1:14:15 Sum and product of roots - Concept(Continuation) 1:16:48 Question & Explanation: If alpha, beta & gamma are the roots 1:18:10 Transformation of Equation - Concept 1:18:34 Negative of the roots of f(x) = Explanation 1:19:30 Increased/Decreased roots of f(x) = 0 Explanation 1:20:50 Question & Explanation: The equation formed by decreasing the roots of quadratic equation. 1:24:39 Scalar multiple of the roots of f(x) = 0 Explanation 1:25:48 Linear combination of roots of f(x) = 0 Explanation 1:27:20 Question & Explanation: If alpha, beta are the roots of 2x2 1:28:59 Question & Explanation: If alpha & beta are the roots of equation ax2+bx+c = 0 1:32:13 Reciprocal of the roots of f(x) = 0 Explanation 1:33:46 Question & Explanation: If alpha, beta are the roots of the equation 3x2+5x-7=0 1:37:23 Square of roots of f(x) = 0 Explanation 1:39:07 nth power of roots of f(x) = 0 Explanation 1:40:38 Question: The number of quadratic equations consider leading coefficient as 1)(Homework) #AakashBYJUS #AakashBYJUSJEE #BYJUSJEE #QuadraticEquations #QuadraticEquationsclass11 #Class11Maths #JEEMaths #JEE2022 #JEEMain #JEE #JEEMain2022 #JEEExam #JEEPreparations #JEEQuestions #JEEMainMaths #BYJUS #JEEStrategy #JEEAdvanced
