Equation of chord joining the points

Ellipse of Class 11

Equation of Chord Joining The Points (acosα, bsinα), (acosβ, bsinβ)

x/a cos + sin = cos

Equation when a major axis is along y-axis

In ellipse x2/a2 + y2/b2 = 1, if b > a, then 2a is length of minor axis and 2b is length of major axis.

(a) e2 = 1 − a2/b2 (when a < b)

(b) Length of latus rectum = 2a2/b

(c) foci: (0, ± be)

(d) Directrices: y = ± b/e

(e) Vertices: (0, ± b)

Equation of chord joining the points

 

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