# Math Course Help With Forms Of Parabola

## 7.5.3 Forms of parabola:

i) y^{2} = -4ax, where a>0

in such parabolas,

- a) Focus is F(-a, 0)
- b) Vertex is O(0, 0)
- c) Equation of axis is; y = 0
- d) Equation of directrix is;
*x*– a = 0 **ii)***x*^{2}**= 4ay, where a>0**

In such parabolas;

- a) focus is F(0, a0
- b) Vertex is O(0, 0)
- c) Equation of axis is;
*x*= 0 - d) Equation of directrix is; y+ a = 0
**iii)***x*^{2}**= -4ay, where a>0**

in such parabolas;

- a) focus is F(0, -a)
- b) Vertex is O(0, 0)
- c) Equation of axis is;
*x*= 0 - d) Equation of directrix is; y- a = 0

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### Following are some of the topics in Conic Sections-Parabola, Hyperbola And Ellipse in which we provide help:

- Introduction To Conic Sections
- Eccentricity
- Parameters Of Conic Section
- Parabola
- Forms Of Parabola
- General Equation Of Parabola
- Position Of A Point With Respect To Parabola
- Equation Of A Tangent And Normal At A Point
- Condition Of Tangency
- Point Of Contact Of A Line And A Parabola
- Ellipse
- Ellipse Properties

- Vertical Form Of Ellipse
- General Equation Of Ellipse
- Position Of A Point With Respect To An Ellipse
- Eccentric Angle
- Equations Of Tangent And Normal To An Ellipse
- Condition Of A Line To Touch An Ellipse
- Hyperbola
- Forms Of Hyperbola
- General Equation Of Hyperbola
- Tangent And Normal At A Point On Hyperbola
- Intersection Of A Line And Hyperbola
- Equation Of A Tangent From A Point Outside The Hyperbola

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