Here the locus of P is called a conic and the constant ‘e’ is called the eccentricity of the conic.

**Conics**

In figure, the fixed point F is called focus,
the fixed straight line *l* is called
directrix and *P* is the moving point
such that *FP/PM* = *e*, a constant. Here the locus of P is
called a conic and the constant ‘e’ is called the eccentricity of the conic.

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**1. Parabola**

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**2. Definitions regarding a parabola: ***y*** **2** **=** **4*ax*

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**3. Other standard parabolas :**

**The process of shifting the origin or translation of axes.**

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**4. General form of the standard equation of a
parabola, which is open rightward (i.e., the vertex other than origin) :**

Consider a parabola with vertex *V* whose co-ordinates with respect to *XOY* system is (0, 0) and with respect to
xoy system is (*h*, *k*). Since it is open rightward, the equation
of the parabola w.r.t. *XOY* system is *Y*^{2} = 4*aX* .

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11th Business Mathematics and Statistics(EMS) : Chapter 3 : Analytical Geometry : Conics | Definition, equation, Formula, Solved Example Problems, Exercise | Mathematics