I'm taking summer lessons next year preperations. I started a new topic(lesson) called Conics.

As I know every beginning has a start .

The question ::

Determine the equation of the conic C(F,d,e).Determine the nature of C(F,d,e) and its different elements.

Given:

F(3,1)

Equation of directrix : x-1= >0

Eccentricity :

My work is the following :

I ploted the given focus(3,1) and graphed the directrix x=1,knowing the e = c/a = sqrt(2)/2 --> c =sqrt2 & a =2 .But since 0<e<1 - so this is an Ellips(correct?)

The length of the major axis is 2a = 2(2)=4 ...

The equation is :

IS MY WORK CORRECT ? MISSING SOMETHING? - Thanks in advance-

Aladdin