Question

find an equation of the ellipse with foci (√3,0) and (-√3,0) and sum of focal radii 4.

Answer 1

sum of focal radiiii is equal to distance between the vertices
2a=4
a=2
distance b/w the focii=2ae
2ae=2sqrt3
ae=sqrt{3}
e=sqrt{3}/2
b^2=4(1-3/4)=1
hence the eqn of ellipse is \[x ^{2}/4+y ^{2}/1=1\]
hope its correct