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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-3 PREPARED BY: ER. VINEET LOOMBA IITIAN IIT-JEE MENTOR

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ques. The equation of the ellipse which passes through origin and has its foci at the points (1, 0) and (3,0) is (A) 3x 4y-x (B) 3xy- 12x (C) x2 +4y 12x (D) 3x2 4y 12x Sol:[D] Centre - (2, 0) Distance between foci 2ae2 (x-2)2 y' passes from (, 0) 2-4 (x-2) y' 4 4 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 focus is the point (6, 7); directrix is x + y + 2 = 0 and eccentricity is Sol : SP = e PM 1 x +y+2 6(x-6)2 +6 (y-7)2 =(x+y+2)2 5% + 5ya_ 76x-88y-2xy + 506-0 SUCCESS IN JEE MAIN AND ADVANCED ER. VINEET LOOMBA (IIT ROORKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ques: The foci of an ellipse are (+ 2, 0) and its eccentricity is 1/2, find its equation. 2 (A)1 12 16 16 12 16 18 18 16 Sol: Foci (+ ae, 0) b2 = 16 | 1 4 16 12 SUCCESS IN JEE MAIN AND ADVANCED ER. VINEET LOOMBA (IIT ROORKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Example A man running round a racecourse notes that the sum of the distance of two flag posts from him is always 10 meters and the distance between the flag posts is 8 meters. The area of the path he encloses (A) 10 (B) IST (C) ST (D) 20 Ques. Sol.:[B] 2a-10 and 2ae -8 a=5, e=45 16 Area ofthe ellipse- ab- .5.3-15 SUCCESS IN JEE MAIN AND ADVANCED ER. VINEET LOOMBA (IIT ROORKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) From a point Q on the circle x2 + y2a2, perpendicular QM are drawn to x-axis, find the locus of point 'P' dividing QM in ratio 2 1. Ques. M (a cos0, 0) P (h, k) 2 asin 2 1 Locus of P is a2 + (a13)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)