Sketch the graph of the ellipse \(\ds \frac{x^2}{9}+\frac{y^2}{16}=1\) and determine its foci. Let \(C\) be the conic which consists of all points \(P=(x,y)\) such ...

(a) \(\ds e=\frac{1}{2}\text{.}\) (b) Use the fact that, for \(P=(x,y)\text{,}\) \(\ds |PF|^2=x^2+(y-1)^2\) and \(\ds |Pl|=\frac{1}{2}|y-4|\text{.}\) (c) From \(\ds ...

From Figure a. it is apparent that the distance from one focus, to a point in the orbit, to the other focus is a constant. From Figure b. it appears that areas encompassed between two points in an ...

Conic Section is a very important part of Mathematics in the syllabus of WBJEE Entrance Examination. In this article the engineering section of Jagranjosh brings to you the complete chapter notes of ...

THIS book has only recently met our notice; it consists of a series of twenty-nine propositions deriving proofs of many of the chief properties of the ellipse by the method of circular projection. We ...

Conic Section is one of the most scoring topics in the syllabus of Mathematics for Joint Entrance Examination. Students can easily score full marks in this topic if they prepare well. Students should ...