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Learn what is a parabola, how to derive its standard equation, and its properties such as latus rectum, focal chord, tangent and normal. Find examples, practice problems and video lessons on parabola for JEE and IIT exams.
Explore the concept of focal distance in parabolas in this concise video! Learn how to determine the focal distance of a point relative to a parabola, along ...
Learn what a parabola is, how to derive its standard equation, and how to find its focal distance and other properties. A parabola is a conic section that has a focus and a directrix, and is symmetric with respect to its axis of symmetry.
Learn what a parabola is, how to find its focus and directrix, and how to graph it with different axes and vertices. See applications of parabolas in physics and engineering.
Since the length of PV is r, the distance of F from the vertex of the parabola is r sin θ. It is shown above that this distance equals the focal length of the parabola, which is the distance from the vertex to the focus.
The focus will be a distance of \(p\) units from the vertex within the curve of the parabola and the directrix will be a distance of \(p\) units from the vertex outside the curve of the parabola. This value \((p)\) is called the focal distance.
Learn how to define and graph parabolas using distance, focus, directrix, and focal length. Find the standard equation of a vertical or horizontal parabola with vertex and focal length.
