sir i have a question: find the equation of the ellipse whose axes are parallel to the cordinate axes having its centre at (2,-3) one focus(3,-3) and one vertex (4,-3)

distance between centre and vertex = semi length of major axis= a=2

 

distance between centre and focus = c =1

 

now c^2=a^2-b^2

 

or, b^2=4-1=3

b=3^(1/2)

 

therfor equation of ellipse:   ((x-2)^2)/4 +((y+3)^2)/3 =1