Parabolas
This chapter begins with a brief introduction to conic sections and the different types of conic sections that come into the picture as we change the orientation of the plane.The basic equations of the parabola,and the concepts like Latus-Rectum, Focal Chord, and Focal Distance are discussed in the first section.The second section deals with tangents to parabolas and various properties that they satisfy.Section three provides an insight about the equation of normals drawn to the parabola in various cases.The last section deals with some important miscellaneous results deduced from circles and generalised for parabolas.At the end of this section, we have a series of exercises to test your understanding of this chapter,solved examples, previous years’ IIT JEE questions pertaining to this chapter.
In addition to preparing for the JEE mains and advanced exams, Cuemath Founder Manan Khurma's study material is helpful for students who are appearing for CBSE, ICSE and other State board exams.
Basics of Parabolas
- Introduction to Parabolas
- Basic Equations of Parabolas
- Terminology of Parabolas
- Basic Examples on Parabolas Set 1
- Parametric Form of Parabolas
- Length of Focal Chords
- Basic Examples on Parabolas Set 2
- Basic Examples on Parabolas Set 3
- Basic Examples on Parabolas Set 4
Tangents and Normals To Parabolas
- Tangents to Parabolas
- Examples on Tangents to Parabolas Set 1
- Examples on Tangents to Parabolas Set 2
- Examples on Tangents to Parabolas Set 3
- Normals to Parabolas
- Examples on Normals to Parabolas Set 1
- Examples on Normals to Parabolas Set 2
Important Results on Tangents and Chords of Parabolas
- Important Results on Tangents and Chords of Parabolas
- Examples on Tangents and Chords of Parabolas Set 1
- Examples on Tangents and Chords of Parabolas Set 2
- Parabola Equations for Shifted Axes
Parabolas