BOARDS CONCEPTS BOOSTER CLASS 11 ELLIPSE

1. BOARDS CONCEPTS BOOSTER ELLIPSE  Download Doubtnut Today Ques No. Question CONCEPT FOR BOARDS || Chapter ELLIPSE 1. INTRODUCTION 1 1. Ellipse Introduction  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE 1. INTRODUCTION 2 2. Equation of ellipse in its standard equation  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE 2. EQUATION OF THE ELLIPSE IN STANDARD FORM 3 1. Various result of Ellipse :- Vertices; major and minor axis ; focii directrix and center  Click to LEARN this concept/topic on Doubtnut

2. CONCEPT FOR BOARDS || Chapter ELLIPSE 2. EQUATION OF THE ELLIPSE IN STANDARD FORM 4 2. Various results of ellipse when y-axis is major axis  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE 2. EQUATION OF THE ELLIPSE IN STANDARD FORM 3. Equation of an ellipse whose axes are parallel to co-ordinate axes and center is [Math Processing Error] 5  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE 2. EQUATION OF THE ELLIPSE IN STANDARD FORM 6 4. Some important terms of ellipse :- Ordinate; Double ordinate ;latus rectum.  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE 3. POSITION OF A POINT WITH RESPECT TO ELLIPSE 7 1. Position of a point with respect to ellipse  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE 3. POSITION OF A POINT WITH RESPECT TO ELLIPSE 8 2. Ellipse with axis not parallel to coordinate axis

3.  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE 3. POSITION OF A POINT WITH RESPECT TO ELLIPSE 3. Relation between all the terms of ellipse and major- minor axis when axis is not parallel to co ordinate axes 9  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE 4. AUXILIARY CIRCLE AND ECCENTRIC ANGLE 10 1. Auxiliary circle and eccentric angle  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE 4. AUXILIARY CIRCLE AND ECCENTRIC ANGLE 2. Find the area of the greatest rectangle that can be inscribed in an ellipse Processing Error] [Math 11  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE 5. SOME IMPORTANT PROPERTIES OF ELLIPSE 12 1. Area of the ellipse [Math Processing Error]  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE

4. 5. SOME IMPORTANT PROPERTIES OF ELLIPSE 2. The ratio of area of any triangle PQR inscribed in an ellipse and that of triangle formed by the corresponding points on the auxilliary circle is . Processing Error] [Math Processing Error] 13 [Math  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE 5. SOME IMPORTANT PROPERTIES OF ELLIPSE 3. If [Math Processing Error] Processing Error] [Math Processing Error] and [Math Processing Error] [Math Processing Error] [Math Processing Error] are two foci of the ellipse is a focal chord such that 14 and [Math then find  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE 5. SOME IMPORTANT PROPERTIES OF ELLIPSE 15 4. Circle described on focal length as diameter always touches the auxilliary circle.  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE 6. INTERSECTION OF A LINE AND ELLIPSE 16 1. Intersection of a line and an ellipse  Click to LEARN this concept/topic on Doubtnut

5. CONCEPT FOR BOARDS || Chapter ELLIPSE 7. POINT OF INTERSECTION OF TANGENTS POINTS [Math Processing Error] 17 1. Equation of tangent at [Math Processing Error]  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE 8. EQUATION OF TANGENT 18 1. Equation of tangent in parametric form and point of contact  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE 8. EQUATION OF TANGENT 19 2. Equation of pair of tangents from point [Math Processing Error]  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE 9. IMPORTANT PROPERTY RELATED TO TANGENT OF ELLIPSE 1. The locus of feet of perpendiculars from the focii upon any tangent is an auxilliary circle. 20  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE 9. IMPORTANT PROPERTY RELATED TO TANGENT OF ELLIPSE 2. The product of perpendiculars from the focii upon any tangent of the ellipse [Math 21

6. Processing Error] is [Math Processing Error]  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE 9. IMPORTANT PROPERTY RELATED TO TANGENT OF ELLIPSE 3. The tangent at the extremities of the latus rectum pass through the corresponding foot of the directrix on the major axis. 22  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE 9. IMPORTANT PROPERTY RELATED TO TANGENT OF ELLIPSE 4. The length of tangent between the point of contact and the point where it meets the directrix subtends right angle at corresponding focus. 23  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE 10. EQUATION OF NORMAL 24 1. Equation of normal of ellipse  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE 10. EQUATION OF NORMAL 25 2. Director Circle  Click to LEARN this concept/topic on Doubtnut

7. CONCEPT FOR BOARDS || Chapter ELLIPSE 10. EQUATION OF NORMAL 26 3. Normal at [Math Processing Error] and [Math Processing Error]  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE 10. EQUATION OF NORMAL 4. Incident ray from focus S after reflection by ellipse at point P passes through the other focus S'. 27  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE 10. EQUATION OF NORMAL 28 5. Co Normal Points of ellipse  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE 11. CHORD OF CONTACT 1. Chord of Contact of ellipse 29  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE 12. EQUATION OF CHORD 1. Equation of chord joining points Error] [Math Processing Error] and [Math Processing 30

8.  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE 12. EQUATION OF CHORD 2. Point of intersection of tangents at points Processing Error] [Math Processing Error] and [Math 31  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE 12. EQUATION OF CHORD 32 3. Equation of the chord of the ellipse whose midpoint is [Math Processing Error]  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE 13. CONCYCLIC POINTS ON ELLIPSE 33 1. Concyclic points on ellipse  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE 14. FOCAL DISTANCE OF A POINT ON THE ELLIPSE 1. Theorem:-The sum of the focal diatances of any point on an ellipse is constant and equal to the length of the major axis of the ellipse. 34  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE

9. 15. POLE AND POLAR 35 1. If on the conic that [Math Processing Error] [Math Processing Error] [Math Processing Error] is the center and [Math Processing Error] [Math Processing Error] are two points then prove such that  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter ELLIPSE 15. POLE AND POLAR 2. If [Math Processing Error] [Math Processing Error] is any point on the ellipse then find the value of [Math Processing Error] [Math Processing Error] and 36  Click to LEARN this concept/topic on Doubtnut  Download Doubtnut to Ask Any Math Question By just a click  Get A Video Solution For Free in Seconds  Doubtnut Has More Than 1 Lakh Video Solutions  Free Video Solutions of NCERT, RD Sharma, RS Aggarwal, Cengage (G.Tewani), Resonance DPP, Allen, Bansal, FIITJEE, Akash, Narayana, VidyaMandir  Download Doubtnut Today