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Category: Coordinate Geometry

The-equation-of-an-ellipse-is-given-as-x-2-y-2xcot2-2-1-0-lt-lt-0-25pi-Show-that-the-minimum-and-maximum-distances-from-the-centre-to-the-circumference-of-this-ellipse-are-tan-and-cot

Question Number 2168 by Yozzi last updated on 06/Nov/15 Theequationofanellipseisgivenasx2+(y+2xcot2θ)2=1(0<θ<0.25π).Showthattheminimumandmaximumdistancesfromthecentretothecircumferenceofthisellipseare$${tan}\theta\:{and}\:{cot}\theta\:{respectively}.\: \