Derive an explicit expression for the semi-minor axis (b ) of an ellipse in terms of…

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Derive an explicit expression for the semi-minor axis

b

of an ellipse in terms of its semi-major axis

a

and eccentricity

e

. Explain, without numerical calculation, how the value of

b

changes when

e

increases while

a

is kept fixed.