Math Assignment Help With General Equation Of Parabola
7.5.4 General equation of parabola:
Let F(h, k) be the focus of the parabola and let the equation of its directrix be;
Ax + by + c = 0
Let P(x, y) be a point on the parabola and PM be the perpendicular from P on the directrix.
PF = PM

√(x – h)2 + (y – k)2 = ax + by + c
√(a2 + b2)
x – h)2 + (y – k)2 = (ax + by + c)2
a2 + b2
(a2 + b2) [(x – h)2 + (y – k)2] = (ax + by + c)2
On solving the above equation we get;
(bx – ay)2 + 2gx + 2fy + d = 0
This is the general form of parabolic equation.
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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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