RD Sharma Class 11 Maths Solutions Chapter 26 - Ellipse

Yes, Vedantu offers complete and detailed solutions for Exercise 26.1 of RD Sharma's Class 11 Maths Chapter 26. Each question is solved methodically, showing every step, from identifying the given parameters to deriving the final equation or value, which helps in clarifying concepts like foci, vertices, and eccentricity.

Our solutions for RD Sharma Class 11 Maths Chapter 26 cover the single, comprehensive exercise (Exercise 26.1) present in this chapter. This exercise contains a wide variety of problems that test all the key concepts of the ellipse, and our solutions provide a thorough guide to mastering each type of question.

Our RD Sharma solutions for Chapter 26, Ellipse, are an excellent resource for exam preparation. They help you:

• Understand the step-by-step method to solve complex problems.

• Identify the types of questions that can be asked from this topic.

• Verify your own answers and correct your mistakes.

• Build a strong foundation on conic sections, which is crucial for competitive exams like JEE.

Absolutely. The problem-solving techniques and formulas used in our RD Sharma Class 11 Maths solutions for Ellipse are fully aligned with the latest CBSE 2025-26 syllabus and its guidelines. This ensures that students are preparing with methods that are relevant and will be accepted for full marks in their examinations.

Our RD Sharma solutions simplify this process by breaking it down into logical steps. First, the solutions guide you to identify the type of ellipse (horizontal or vertical) based on the given foci or vertices. Next, they show how to use the given information (like the length of the major axis, eccentricity, or latus rectum) to calculate the values of 'a' and 'b'. Finally, the solution demonstrates how to substitute these values into the standard equation, x²/a² + y²/b² = 1 or x²/b² + y²/a² = 1, providing a clear and repeatable method.

Mastering the standard equations is fundamental because every problem in the chapter is a direct application of them. The standard equations, x²/a² + y²/b² = 1 for a horizontal ellipse and x²/b² + y²/a² = 1 for a vertical one, act as the blueprint. Without a clear understanding of what 'a', 'b', and their relationship with the foci and vertices represent, it becomes impossible to correctly interpret the question's parameters or derive the required elements of the ellipse. The solutions reinforce this by consistently starting with the appropriate standard form.

The solutions provide clear visual and mathematical cues. For any given problem, the first step demonstrated in the solution is to analyse the coordinates of the foci and vertices. If the y-coordinates of the foci/vertices are zero, the solution identifies it as a horizontal ellipse. If the x-coordinates are zero, it is identified as a vertical ellipse. This systematic check, shown at the beginning of each relevant problem, trains students to quickly and accurately determine the orientation of the ellipse, which is the most critical step in choosing the correct standard equation.

A common mistake is confusing the formulas for the latus rectum (2b²/a) and eccentricity (c/a) or misidentifying 'a' and 'b'. Students often mix up the major and minor axes. Vedantu's solutions help prevent this by clearly stating the formula at the start of the calculation and showing how the values of 'a', 'b', and 'c' are derived from the given equation of the ellipse. By following this structured approach, students learn to avoid these common pitfalls and calculate these properties accurately.