Parabola

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Important Formulas:


S. No. Terms
1 Vertex
2 Focus
3 Equation of  axis
4 Equation of directrix
5 Eccentricity
6 Extremities of latusrectum
7 Length of latusrectum
8 Equation of tangent at vertex
9 Parametric equation
10 Focal distance of any point
11 Equation of latusrectum

General  Equation of Conic: A second degree equation   represents


1.   Pair of straight lines , if


2.  Circle, if


3.  Parabola, if  and 


4. Ellipse, if and


5.  Hyperbola, if   and


6.  Rectangular hyperbola, if and


7.  Parabola: If focus of a parabola is and equation of the directrix is , then the equation of the parabola is


for_PARABOLA