Problem – Find the vertex, focus and directrix of a parabola when the coefficients of its equation are given.
A set of points on a plain surface that forms a curve such that any point on that curve is equidistant from the focus is a parabola.
Vertex of a parabola is the coordinate from which it takes the sharpest turn whereas a is the straight line used to generate the curve.
The standard form of a parabola equation is . Given the values of a, b and c; our task is to find the coordinates of vertex, focus and the equation of the directrix.
Input : 5 3 2 Output : Vertex:(-0.3, 1.55) Focus: (-0.3, 1.6) Directrix: y=-198 Consult the formula below for explanation.
This problem is a simple example of implementations of formulae. Given below are the required set of formulae which will help us tackle the problem.
For a parabola in the form Vertex: Focus: Directrix:
Vertex:(-0.3, 1.55) Focus: (-0.3, 1.6) Directrix: y=-198
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