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Additional Information :.

A parabola is a graph of a quadratic function. Pascal stated that a parabola is a projection of a circle. Galileo explained that projectiles falling under the effect of uniform gravity follow a path called a parabolic path. Many physical motions of bodies follow a curvilinear path which is in the shape of a parabola. In mathematics, any plane curve which is mirror-symmetrical and usually of approximately U shape is called a parabola. Here we shall aim at understanding the derivation of the standard formula of a parabola, the different equations of a parabola, and the properties of a parabola. A parabola refers to an equation of a curve, such that each point on the curve is equidistant from a fixed point, and a fixed line.

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Additional Information :. The latus rectum is a line which passes through the focus and is parallel to the directrix. Last updated on Feb 5, Get Started. SSC Exams. Banking Exams. Teaching Exams. Civil Services Exam. Railways Exams. Engineering Recruitment Exams. Defence Exams.

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The given equation is in xy - plane. It is a Parabola with horizontal axis of symmetry and vertex in the origin. Each and every point of the parabola must satisfy this relation. Also, parametric equations represent each point of the parabola as a function of parameter 't'. Last updated on Mar 31, In this year's recruitment cycle, a total of vacancies were released.

A parabola is a graph of a quadratic function. Pascal stated that a parabola is a projection of a circle. Galileo explained that projectiles falling under the effect of uniform gravity follow a path called a parabolic path. Many physical motions of bodies follow a curvilinear path which is in the shape of a parabola. In mathematics, any plane curve which is mirror-symmetrical and usually of approximately U shape is called a parabola. Here we shall aim at understanding the derivation of the standard formula of a parabola, the different equations of a parabola, and the properties of a parabola. A parabola refers to an equation of a curve, such that each point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the "focus" of the parabola, and the fixed line is called the "directrix" of the parabola.

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The equation representing a parabolic function is a quadratic equation with a second degree in x. Let us learn more about the parabolic function, graph of a parabolic function, properties of parabolic function with the help of examples, FAQs. It is a quadratic expression in the second degree in x. The parabolic function has a graph similar to the parabola and hence the function is named a parabolic function. The parabolic function has the same range value for two different domain values. The two possible points on the graph of the parabolic function is x 1 , y , x 2 , y.

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A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point known as the focus and from a fixed straight line, which is known as the directrix. Parabola is an integral part of the conic section topic, and all its concepts are covered here.

As per the definition of a parabola, the distance of this point from the focus F is equal to the distance of this point P from the Directrix. Important Exams. GATE Physics. Haryana Civil Services. SET Exam. Krushi Vibhag Maharashtra Superintendent. WB Police Sergeant. FCI Watchman. Maharashtra Agriculture Assistant. CG Vyapam Assistant Grade 3.