After studying this chapter, the student will be able to understand:
The standard equation and parametric equation of ellipse, the foci, directrix, eccentricity, latus rectum
Equation of auxilliary and directries circle of the ellipse
The equation of tangent at point (x, y,) and the necessary and sufficient condition of y = mx + c to be a tangent to the ellipse and the co-ordinates of point t.
Properties of the ellipse
The position of a point with respect to the ellipse.
Set of all points in a plane whose distance from a fixed line is said to be directrix of the ellipse and the constant ratio e (e 1) is said to be eccentricity of the ellipse.
The fixed point is said to be the focus ...