12/16/2023 0 Comments The definition of a parabola abscissaBelow is the tabular representation of the formulas for all these terms for the different standard forms. We saw the various terms relating to the parabola, like the vertex, latus rectum, focus and directrix, eccentricity. If m is the slope of normal to the parabola \(y^2=4ax\), then its equation is given by the formula: \(y=mx-2am-am^3\)Įquation of normal to the parabola \(y^2=4ax\), at point \((at^2,\ 2at)\) is given by the equation: \(y=-t⋅x+2at+at^3\). The general equation of parabola is as follows: the general equation, standard equation, equation of tangent and equation of normal to the parabola. Let us learn the various equations involved in eq of parabola i.e. The parabolic equation in the conic section assists in describing the general form of the parabolic path in the plane. The fixed point is termed as the focus of the parabola, and the fixed line is termed the directrix of the parabola. In terms of Mathematics, a parabola is referred to as an equation of a curve such that a location on the curve is equidistant from a fixed point, and a fixed line. We will start our discussion by answering the question What is a Parabola? What is a Parabola?Ī parabola is a graph of a quadratic function. All conic sections like Parabola, Ellipse and Hyperbola have such a curvilinear path. Many natural motions of bodies develop a curvilinear path which is in the form of a parabola. Also, a parabola is a projection of a circle. Scientists demonstrated that projectiles dropping under the effect of uniform gravity obey a path termed a parabolic path.
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