Conic Sections-Parabola

Iyer, Vidhya ; IIT Bombay


Outline: Definition, parts and properties of a parabola; Constructing a parabola; Changing the appearance of a parabola; The standard equation of a parabola, (x-a)^2 = 4p (y-b) ; The standard equation of a parabola, (y-l)^2 = 4p (x-m) ; Correlating both standard equations with direction of axes of symmetry; Creating sliders to change coefficients in standard equations; The effects of the coefficients in standard equations on the parabola; Finding foci, vertex and equations of the axis of symmetry and directrix of a parabola; Calculating length of latus rectum of a parabola. Pre-requisite: Complex Roots of Quadratic Equations

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Spoken Tutorial IIT Bombay

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