JEE Exam > JEE Notes > Study Plan for JEE > 3 Days Timetable: Ellipse
3 Days Timetable: Ellipse | Study Plan for JEE PDF Download
JEE Revision Plan for "Ellipse"
Number of Days: 3
Introduction
The chapter on Ellipse is crucial for JEE preparation, particularly in the Mathematics section. With a significant weightage in both JEE Main and Advanced exams, mastering this topic can greatly enhance your score. Historically, questions related to the ellipse have appeared consistently in previous years, making it a high-yield area for students. This structured revision plan will facilitate effective retention, improve problem-solving speed, and build confidence as you prepare for the JEE.
Hyperlink to Study Resources
- Revision Notes: Conic Section
- NCERT Exemplar: Conic Sections (Exercise)
- NCERT Textbook: Conic Sections
Topics to Cover
- Definition and Properties of Ellipse
- Standard Equations of Ellipse
- Eccentricity and Latus Rectum
- Tangents and Normals to an Ellipse
- Position of a Point with Respect to an Ellipse
- Applications of Ellipse in Coordinate Geometry
Hyperlink to Detailed Topics
JEE Study Plan for "Ellipse"
JEE Study Plan for Ellipse
Day 1: Fundamental Concepts
- What to Cover:
- Definition and Properties of Ellipse
- Standard Equations of Ellipse
- Eccentricity and Latus Rectum
- Study Tips:
- Understand Geometry: Visualise the ellipse and its properties using diagrams.
- Conceptual Connections: Relate the properties of ellipse to those of other conics.
- Use Flashcards: Create flashcards for key formulas and definitions.
- Practice Questions:
- Solve JEE PYQs related to definitions and properties.
- FlashCards: Ellipse
Day 2: Application and Problem Solving
- What to Cover:
- Tangents and Normals to an Ellipse
- Position of a Point with Respect to an Ellipse
- Study Tips:
- Derive Formulas: Focus on deriving the equations of tangents and normals.
- Practice Derivations: Reinforce learning by deriving important formulas from scratch.
- Utilise NCERT: Go through NCERT solutions to understand different problem-solving methods.
- Practice Questions:
- Work on Test: Ellipse- 1 and JEE PYQs.
- NCERT Solutions: Exercise 10.3 - Conic Sections
Day 3: Revision and Mock Testing
- What to Cover:
- Review all key concepts and formulas.
- Solve previous years’ JEE questions related to the ellipse.
- Study Tips:
- Mind Map Review: Use the mind map to quickly review key concepts.
- Shortcuts: Create a list of shortcuts for quick recall during exams.
- Mock Tests: Simulate exam conditions by solving mock tests.
- Practice Questions:
- Test: Ellipse - 2
- Complete a full-length JEE mock test covering the ellipse.
Last Day – Final JEE Revision
- Summarise:
- Key concepts & formulas for Ellipse.
- Review mind maps and flashcards.
- Final Practice:
- Solve any remaining PYQs.
- Attempt Test: Ellipse - 3.
Hyperlink to Additional Resources
The document 3 Days Timetable: Ellipse | Study Plan for JEE is a part of the JEE Course Study Plan for JEE.
All you need of JEE at this link: JEE
FAQs on 3 Days Timetable: Ellipse - Study Plan for JEE
| 1. What is the standard form of the equation of an ellipse? |  |
Ans. The standard form of the equation of an ellipse centered at the origin is given by \(\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1\), where \(a\) is the semi-major axis and \(b\) is the semi-minor axis. If the ellipse is centered at the point \((h, k)\), the equation becomes \(\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} = 1\).
| 2. How do you determine the foci of an ellipse? | |
Ans. The foci of an ellipse can be determined using the formula \(c = \sqrt{a^2 - b^2}\), where \(c\) is the distance from the center to each focus, \(a\) is the length of the semi-major axis, and \(b\) is the length of the semi-minor axis. The foci are located at \((\pm c, 0)\) for a horizontally oriented ellipse and \((0, \pm c)\) for a vertically oriented ellipse.
| 3. What are the key properties of an ellipse? | |
Ans. Key properties of an ellipse include:
1. The sum of the distances from any point on the ellipse to the two foci is constant.
2. The major and minor axes are perpendicular to each other.
3. The ellipse is symmetric about both the major and minor axes.
4. The area of the ellipse can be calculated using the formula \(A = \pi a b\), where \(a\) and \(b\) are the lengths of the semi-major and semi-minor axes, respectively.
| 4. How can you graph an ellipse? | |
Ans. To graph an ellipse, first identify the center, lengths of the semi-major and semi-minor axes, and orientation (horizontal or vertical). Plot the center point, and then from the center, mark the endpoints of the major axis \(a\) units away and the minor axis \(b\) units away. Finally, sketch a smooth curve connecting these points to form the ellipse.
| 5. What is the difference between a circle and an ellipse? | |
Ans. The main difference between a circle and an ellipse lies in the lengths of their axes. A circle is a special case of an ellipse where the lengths of the semi-major and semi-minor axes are equal, i.e., \(a = b\). In contrast, an ellipse has two distinct axes, resulting in a shape that is elongated along one direction.
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Jul 14, 2025
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Additional Information about 3 Days Timetable: Ellipse for JEE Preparation
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