Parabola - Conic Section
, Maths Expert
Premium Curriculum
- 8 sections
- 30 Topics
- 08 H 03 Mins
- 01:12
Intro Video
- 07:29
Understanding Conic Section - 17:23 Locus of Parabola
- 19:45 Standard Parabola Part - 1
- 18:08 Standard Parabola Part - 2
- 16:54 Shifting of Origin
- 19:01 Problems and Solutions
- 17:24 Parametric Form of Parabola
- 07:20 Non - Standard Parametric Equation
- 17:04 Parabola with Given Focus and Directrix
- 08:51 Position of a Point with Respect to Parabola
- 23:09 Problems and Solutions
- 19:39 Tangent to Parabola
- 20:08 Equation of a Tangent to Parabola
- 16:19 Calculus Method to Find Tanget
- 19:34 Properties of Tangents Part - 1
- 19:34 Properties of Tangents Part - 2
- 13:04 Locus of Perpendicular Tangents
- 16:53 Pair of Tangents
- 22:53 Problems and Solutions
Course Highlights
Certificate of completion- Integrated projects and quizzes
- Additional study materials
- Learn anytime, anywhere
- Completely self-paced
About this course
Intermediate
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In mathematics, a parabola is a U-shaped curve that is defined as the locus of points in a plane that are equidistant from a fixed point, called the focus, and a fixed line, called the directrix. This course will cover the equation, properties, and applications of parabolas. Topics include vertex, focus, directrix, axis of symmetry, standard form...
Skills you will learn
- Axis of symmetry
- Directrix
- Focus
- Graphing
- Horizontal parabola
- Maths
- Maximum value
- Minimum value
- Parabola
- Real-world applications
- Standard form
- Transformations
- Vertex
- Vertical parabola
Who should take this course?
- High school and higher secondary (Class 11, 12) students.
- Students preparing for JEE.
- Any other entrance exam aspirants looking to gain a deeper understanding of the concepts across the globe.
What will you learn in this course?
- Define and identify parts of a parabola.
- Graph parabolas using standard form equation.
- Recognize horizontal and vertical parabolas.
- Use transformations to graph shifted, stretched, or compressed parabolas.
- Determine maximum or minimum value of a quadratic function.
- Solve real-world problems using parabolas.
- Understand connections between parabolic shape and physical phenomena.
- Analyze and solve problems related to parabolas using mathematical reasoning and problem-solving skills.
Earn sharable certificate
You'll earn a sharable certificate upon completion of this course.
- Showcase it on your professional profiles
- Share it on social media as a proof of your skills
- Download as PDF and print it
About the tutor
Praveen Pahadey
Premium Hello Learners! Meet Tutorac academy's Mathematics Expert Praveen Pahadey. He is someone who inspires his students to look beyond the pages of the textbook to become problem solvers and critical thinkers. He is an IITian, youtuber and accomplished Mathematics teacher. He has a teaching experience... View more
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Curriculum
- 8 sections
- 30 Topics
- 08 H 03 Mins
- 01:12 Intro Video
- 07:29 Understanding Conic Section
- 17:23 Locus of Parabola
- 19:45 Standard Parabola Part - 1
- 18:08 Standard Parabola Part - 2
- 16:54 Shifting of Origin
- 19:01 Problems and Solutions
- 17:24 Parametric Form of Parabola
- 07:20 Non - Standard Parametric Equation
- 17:04 Parabola with Given Focus and Directrix
- 08:51 Position of a Point with Respect to Parabola
- 23:09 Problems and Solutions
- 19:39 Tangent to Parabola
- 20:08 Equation of a Tangent to Parabola
- 16:19 Calculus Method to Find Tanget
- 19:34 Properties of Tangents Part - 1
- 19:34 Properties of Tangents Part - 2
- 13:04 Locus of Perpendicular Tangents
- 16:53 Pair of Tangents
- 22:53 Problems and Solutions
Course Highlights
- Certificate of completion
- Integrated projects and quizzes
- Additional study materials
- Learn anytime, anywhere
- Completely self-paced