Nature of Roots Class 11 Maths Quadratic Equations (Ch-5) (L-1) | 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 Graphs of Quadratic Equations, nature of roots, sign of Quadratic Expression 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 at 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://bit.ly/3LYUGZ8 👉 Install Aakash BYJU'S App for JEE Exam Preparation: https://byjus-aakash.onelink.me/GieR/... 👉 JEE Preparation Latest Videos Playlist:    • JEE Main & Advanced 2022 Exam Preparations...   👉 JEE Mathematics Preparation Latest Videos Playlist:    • Class 12 Maths | Online LIVE Classes for J...   👉 JEE Physics Preparation Latest Videos Playlist:    • Class 12 Physics | Online LIVE Classes for...   👉 JEE Chemistry Preparation Latest Videos Playlist:    • Class 12 Chemistry | Online LIVE Classes f...   0:00 QUADRATIC EQUATIONS - Rapid Revision 2:03 Table of Contents 4:22 General Expression of a Polynomial of degree ‘n’ 6:40 Question 1 - Which of the following is/are a polynomial 8:23 Identity 8:26 Explanation of Identity 9:36 Question 2 - If (P2-1)x2+(P-1)x+(P2-4P+3)=0 is an identity in x, then the value of P is 11:56 Relation between Roots and Coefficients 12:04 Explanation of Relation between Roots and Coefficients 14:00 Result 15:23 Difference of Roots 16:30 Question 3 - A quadratic polynomial p(x) has 1+5 and 1-5 as its zeros and p(1)=2. Then the value of p(0) is 21:05 Question 4 - If , are the roots of the equation x2-4x+3=0, then the value of 4+4-1 is _____ 25:27 Question 5 - If the difference of the roots of the equation (k-2)x2-(k-4)x-2=0, k≠2 is 3, then the sum of all the values of k is 30:03 Nature of Roots 30:15 Explanation of Nature of Roots 38:55 Question 6 - The value(s) of m such that the roots of the quadratic equation (m+1)x2+(m+1)x-m+1=0 are equal is 41:17 Question 7 - If the roots of the equation 6x2-7x+k=0,k greater than -3 are rational, then possible integral value(s) of k is/are 44:43 Question 8 - If a, b, c are distinct non-zero rational numbers such that a+b+c=0, then both the roots of the equation (b+c-a)x2+(c+a-b)x+(a+b-c)=0 are 49:31 Common Roots 49:38 Case 1 : Only One Common Root 52:50 Case II: Both Roots Common 54:05 Question 9 - If x2-ax+b=0 and x2-px+q=0 have one root common and the second equation has equal roots, then b+q is equal to 58:42 Question 10 - The two equations x3+1=0 and ax2+bx+c=0; a, b, c R have two roots in common. Then a+b is equal to 1:03:33 Graphs of Quadratic Polynomial 1:03:47 Explanation of Graph of Quadratic Polynomial 1:06:33 Question 11 - If both the roots of a quadratic equation ax2+bx+c=0 are negative and b less than 0, then which of the following statements is always true? 1:10:27 Question 12 - The graph of f(x)=-x2+x-2 is 1:12:56 Sign of Quadratic Expression 1:12:59 y=f(x)=ax2+bx+c, x R 1:18:39 Question 13 - If (-2)x2+(-1)x+3 less than 0, xR, then the range of is 1:23:45 Question 14- The number of integral values of k, for which (x2-x+1)(kx2-3kx-5) less than 0 is ____ 1:29:38 Range of Quadratic Polynomial 1:30:14 Explanation of Range of Quadratic Polynomial 1:31:40 Question 15 - Let f(x)=x2+2bx+2c2 and g(x)=-x2-2cx+b2, b,c≠0. If the minimum of f(x) is greater than maximum value of g(x), then the range of bc is 1:35:37 Range of Rational Expression 1:36:32 Question 16 - Range of the rational expression y=x+32x2+3x+9, xR is 1:42:26 The largest integral value of m for which y=mx2+3x-4-4x2+3x+m has range R is _____ 1:42:56 PHYSICS - Rapid Revision - Upcoming Session! 1:43:10 Thank You #AakashBYJUS #AakashBYJUSJEE #BYJUSJEE #QuadraticEquationsClass11 #QuadraticEquationsJEE #Class11Maths #JEEMaths #JEE2022 #JEEMain #JEE #JEEMain2022 #JEEExam #JEEPreparations #JEEQuestions #JEEMainMaths #BYJUS #JEEStrategy #JEEAdvanced