Overview
RD Sharma Class 11 Mathematics Chapter 25 introduces the Parabola, one of the fundamental conic sections formed by the intersection of a plane and a cone. Students explore its definition, properties, and equations.
Key Concepts
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Focus, directrix, and vertex of a parabola
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Standard equations of parabolas
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Derivation of latus rectum length
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Tangents and normals
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Applications in physics and engineering
Formulas
The chapter Parabola in RD Sharma Class 11 Mathematics introduces students to one of the most important curves in coordinate geometry. A parabola is defined as the set of all points in a plane that are at equal distances from a fixed point called the focus and a fixed line called the directrix. This chapter helps students understand the geometric meaning and algebraic representation of this unique curve.
Students learn to derive and use the standard equation of a parabola, depending on the direction of its axis. The chapter explains important terms such as vertex, axis, focus, directrix, and latus rectum. It also teaches how to find the equation of a tangent and normal to a parabola at a given point, as well as the equations of parabolas that open upward, downward, left, or right. RD Sharma solutions for this chapter include detailed explanations, examples, and practice problems that strengthen both conceptual and problem-solving skills. Understanding the parabola is essential because it connects algebra with geometry and has wide applications in real life, including the design of satellite dishes, headlights, and bridges. Mastering this chapter builds a strong base for studying other conic sections like the ellipse and hyperbola.
Applications
Parabolic shapes are used in satellite dishes, bridges, and headlights due to their reflective property.
RD Sharma Solutions
Class 11 Solutions provide diagrammatic representations and logical derivations, helping students link algebraic and geometric perspectives.
Conclusion
The chapter lays the groundwork for understanding advanced conic sections like ellipses and hyperbolas.