2.
Parametric CoordinatesCartesian Coordinates: curve is described by one equation and points are described by two numbers.
3.
Parametric CoordinatesCartesian Coordinates: curve is described by one equation and points are described by two numbers.Parametric Coordinates: curve is described by two equations and points are described by one number (parameter).
4.
Parametric CoordinatesCartesian Coordinates: curve is described by one equation and points are described by two numbers.Parametric Coordinates: curve is described by two equations and points are described by one number (parameter). y x
5.
Parametric CoordinatesCartesian Coordinates: curve is described by one equation and points are described by two numbers.Parametric Coordinates: curve is described by two equations and points are described by one number (parameter). y x
6.
Parametric CoordinatesCartesian Coordinates: curve is described by one equation and points are described by two numbers.Parametric Coordinates: curve is described by two equations and points are described by one number (parameter). y x 2 4ay x
7.
Parametric CoordinatesCartesian Coordinates: curve is described by one equation and points are described by two numbers.Parametric Coordinates: curve is described by two equations and points are described by one number (parameter). y x 2 4ay Cartesian equation x
8.
Parametric CoordinatesCartesian Coordinates: curve is described by one equation and points are described by two numbers.Parametric Coordinates: curve is described by two equations and points are described by one number (parameter). y x 2 4ay Cartesian equation x 2at , y at 2 x
9.
Parametric CoordinatesCartesian Coordinates: curve is described by one equation and points are described by two numbers.Parametric Coordinates: curve is described by two equations and points are described by one number (parameter). y x 2 4ay Cartesian equation x 2at , y at 2 Parametric coordinates x
10.
Parametric CoordinatesCartesian Coordinates: curve is described by one equation and points are described by two numbers.Parametric Coordinates: curve is described by two equations and points are described by one number (parameter). y x 2 4ay Cartesian equation x 2at , y at 2 Parametric coordinates (2a, a) x
11.
Parametric CoordinatesCartesian Coordinates: curve is described by one equation and points are described by two numbers.Parametric Coordinates: curve is described by two equations and points are described by one number (parameter). y x 2 4ay Cartesian equation x 2at , y at 2 Parametric coordinates (2a, a) Cartesian coordinates x
12.
Parametric CoordinatesCartesian Coordinates: curve is described by one equation and points are described by two numbers.Parametric Coordinates: curve is described by two equations and points are described by one number (parameter). y x 2 4ay Cartesian equation x 2at , y at 2 Parametric coordinates (2a, a) Cartesian coordinates t 1 x
13.
Parametric CoordinatesCartesian Coordinates: curve is described by one equation and points are described by two numbers.Parametric Coordinates: curve is described by two equations and points are described by one number (parameter). y x 2 4ay Cartesian equation x 2at , y at 2 Parametric coordinates (2a, a) Cartesian coordinates t 1 parameter x
14.
Parametric CoordinatesCartesian Coordinates: curve is described by one equation and points are described by two numbers.Parametric Coordinates: curve is described by two equations and points are described by one number (parameter). y x 2 4ay Cartesian equation (4a, 4a) x 2at , y at 2 Parametric coordinates t 2 (2a, a) Cartesian coordinates t 1 parameter x
15.
Any point on the parabola x 2 4ay has coordinates;
16.
Any point on the parabola x 2 4ay has coordinates; x 2at
17.
Any point on the parabola x 2 4ay has coordinates; x 2at y at 2
18.
Any point on the parabola x 2 4ay has coordinates; x 2at y at 2 where; a is the focal length
19.
Any point on the parabola x 2 4ay has coordinates; x 2at y at 2 where; a is the focal length t is any real number
20.
Any point on the parabola x 2 4ay has coordinates; x 2at y at 2 where; a is the focal length t is any real numbere.g. Eliminate the parameter to find the cartesian equation of; 1 1 x t , y t2 2 4
21.
Any point on the parabola x 2 4ay has coordinates; x 2at y at 2 where; a is the focal length t is any real numbere.g. Eliminate the parameter to find the cartesian equation of; 1 1 x t , y t2 2 4 t 2x
22.
Any point on the parabola x 2 4ay has coordinates; x 2at y at 2 where; a is the focal length t is any real numbere.g. Eliminate the parameter to find the cartesian equation of; 1 1 x t , y t2 2 4 1 y 2x 2 t 2x 4
23.
Any point on the parabola x 2 4ay has coordinates; x 2at y at 2 where; a is the focal length t is any real numbere.g. Eliminate the parameter to find the cartesian equation of; 1 1 x t , y t2 2 4 1 y 2x 2 t 2x 4 y 4x2 1 4 y x2
24.
Any point on the parabola x 2 4ay has coordinates; x 2at y at 2 where; a is the focal length t is any real number e.g. Eliminate the parameter to find the cartesian equation of; 1 1 x t , y t2 2 4 1 y 2x 2 t 2x 4 y 4x2 1 4 y x2(ii) State the coordinates of the focus
25.
Any point on the parabola x 2 4ay has coordinates; x 2at y at 2 where; a is the focal length t is any real number e.g. Eliminate the parameter to find the cartesian equation of; 1 1 x t , y t2 2 4 1 y 2x 2 t 2x 4 y 4x2 1 4 y x2(ii) State the coordinates of the focus 1 a 4
26.
Any point on the parabola x 2 4ay has coordinates; x 2at y at 2 where; a is the focal length t is any real number e.g. Eliminate the parameter to find the cartesian equation of; 1 1 x t , y t2 2 4 1 y 2x 2 t 2x 4 y 4x2 1 4 y x2(ii) State the coordinates of the focus 1 a 1 focus 0, 4 4
27.
(iii) Calculate the parametric coordinates of the curve y 8 x 2
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(iii) Calculate the parametric coordinates of the curve y 8 x 2 x 2 4ay
29.
(iii) Calculate the parametric coordinates of the curve y 8 x 2 x 2 4ay 1 4a 8 1 a 32
30.
(iii) Calculate the parametric coordinates of the curve y 8 x 2 x 2 4ay 1 4a 8 1 a 32 1 1 the parametric coordinates are t , t 2 16 32
31.
(iii) Calculate the parametric coordinates of the curve y 8 x 2 x 2 4ay 1 4a 8 1 a 32 1 1 the parametric coordinates are t , t 2 16 32 Exercise 9D; 1, 2 (not latus rectum), 3, 5, 7a
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