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JEE MAIN RANK BOOSTER COURSE MASTERING ELLIPSE FOR JEE MAIN AND ADVANCED PREPARED BY: ER. VINEET LOOMBA IITIAN IIT-JEE MENTOR

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) ABOUT ME B. Tech. From IIT Roorkee IIT-JEE Mentor Since 2010. Youtube, Founder @ vineetloomba.com unacademy Many of my students are pursuing courses in IITs, NITs, BITs etc. Currently running my own Coaching Institute for JEE Main and Advanced Searh vineet loomba unacademy on GOOGLE

JEE MAIN RANK BOOSTER COURSE IMPORTANT PRACTICE PROBLEMS SET-2 PREPARED BY: ER. VINEET LOOMBA IITIAN IIT-JEE MENTOR

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Example The distance between the directrices of the ellipse-+--l is 24 (A) (B) 5 V5 18 (C) 5 12 ER. VINEET LOOMBA (IIT ROORKEE) SUCCESS IN JEE MAIN AND ADVANCED

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Solution 2a 2x3x3 18 Distance between the directrices Hence (C) is the correct answer. 3.5 SUCCESS IN JEE MAIN AND ADVANCED ER. VINEET LOOMBA (IIT ROORKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Example If minor-axis of ellipse subtend a right angle at its focus then find the eccentricity of ellipse. Sol. b a2 +21 ZBSO S' O 4 ae b 2 SUCCESS IN JEE MAIN AND ADVANCED ER. VINEET LOOMBA (IIT ROORKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ques: Find the equation of the ellipse whose foci are (2, 3), (-2, 3) and whose semi-minor axis is of length 5 Sol : b- 5 and 2ae 4, .. ae2 b2 -a(1-e) Also center will be (0, 3) Hence, equation of the ellipse is g + x2 -321 SUCCESS IN JEE MAIN AND ADVANCED ER. VINEET LOOMBA (IIT ROORKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ques Find the centre, the length of the axes, and the eccentricity of the ellipse 2x2 +3y2 -4x+12y +13-o. Sol: 2x2+3y2-4x +12y 130 2(x-1)2+3(y+2)1 (x-12 (y +2) 2 1; where X-x - 1, Y-y+ 2, 2 a* b SUCCESS IN JEE MAIN AND ADVANCED ER. VINEET LOOMBA (IIT ROORKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Centre is X-0, Y-0; x 1, y Length of major axes-2a-v2 Length of minor axes 2b- -2 3 (1-e2); e 2 2 2 SUCCESS IN JEE MAIN AND ADVANCED ER. VINEET LOOMBA (IIT ROORKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Save Save for this Course (Free) Recommend Lessons (Like) E M AND ADvANCED Rate and Review the Course Comments Sharing with friends MOST IMPORTANT QUESTIONS IN MATHEMATICS PREPARED ER. VINEET LOOMS MADE EASY 1ITIAN I IT-IEE MENTOR 00:00 05:46 SURE SHOT SUCCESS IN JEE MAIN AND ADVANCED CIIT-IEE) 91 likes 18 comments AO Share HINDI Crash Course Maths (Hindi) Most Important Questions in IIT-JEE Mathematics (Chapter- Wise) Vineet Loomba 11k Followers Follow 5.0 (51 ratings) Edit review SUCCESS IN JEE MAIN AND ADVANCED ER. VINEET LOOMBA (IIT ROORKEE)