L31 Imp Results R1 in parabola: Tangent, normal, focal chord & focal radius (Details in description)
Автор: Mathsmerizing
Загружено: 2020-06-28
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L31 Imp Results R1 in parabola: Tangent, normal, focal chord & focal radius
Result 1: If the tangents and normals at any point P on parabola y^2=4ax intersects x axis at T and G, then prove ST=SG=SP where S is the focus. In other words tangents and normals at a point P are the bisectors of angles between the focal radius and the perpendicular from P on the directrix.
Result 2: Portion of tangents to the parabola cut off between the directrix and the curve subtends a right angle at the focus.
Result 3: Circle on focal chord as diameter touches the directrix. Circle on focal radius touch the tangent at vertex. Support the channel:
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