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Additional Information :. Y 4ax latus rectum is a line which passes through the focus and is parallel to the directrix.
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.
Y 4ax
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Many physical motions of bodies follow a curvilinear path which is in the shape of a parabola. GATE Physics.
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.
In conic sections , a parabola is the set of all points in a plane that are equidistant from a fixed line and a fixed point not on the line in the plane. A line through the focus and perpendicular to the directrix is called the axis of the parabola. Also, the vertex is the point of intersection of a parabola with the axis. As we know, the standard equation of the parabola is used in solving a variety of problems in maths. In this article, you will learn how to write the standard equations for parabola in different cases and how to solve questions based on these equations. In this section, one can learn what is the standard equation of a parabola and how to write the equations of parabola. The parabola equation is simplest if the vertex is at the origin and the axis of symmetry is along the x-axis and y-axis. The four such possible orientations of the parabola are explained in the table below:.
Y 4ax
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.
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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.
Chandigarh TGT. AAI Junior Assistant. Suggested Exams. WRD Maharashtra. Care has been taken to solve the questions in such a way that students. Punjab Police SI. South Indian Bank Clerk. Telangana Police Constable. AP Police SI. Bihar Police SI. Uttarakhand D. The parabola has only one focus. Bihar Vidhan Sabha Junior Clerk. Solution: To find: the length of the latus rectum, focus and vertex of a parabola. DHS Assam Grade 4.
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