HSC Parametric Equations
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Created by:
someonerndom on June 18, 2012
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12 terms
Terms | Definitions |
|---|---|
 Focal length | a |
| Focus | (0,a) |
| Directrix | y = -a |
| Latus rectum | y = a |
| Equation of chord PQ | y = ½(p+q)x - apq |
| Condition for PQ to be a focal chord | pq = -1 |
| Equation of tangent at P | y = px - ap² |
| Point of intersection of tangents at P and Q | (a(p+q), apq) |
| Equation of normal at P | x + py = ap³ + 2ap |
| Point of intersection of normals at P and Q | (-apq(p+q), a(p²+q²+pq+2)) |
| Equation of a chord of contact from (x₀, y₀) | xx₀ = 2a(y+y₀) |
| Parametric equations for basic parabola x² = 4ay | x = 2at y = at² |
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