Find the intersection points of the ellipse `5x^2+y^2=16` and hyperbola `x^2-y^2=-4`

Find the eccentricity of the ellipse x^2/4+y^2/16=1

find the equation of the hyperbola which passes through the points of intersection of the line x+y=5 and hyperbola 2x^(2)-3y^(2)-6=0 and is also passes through (3,4).

Find the equation of a hyperbola which passes through the points of intersection of the line x+y-5=0& hyperbola 2x^(2)-3y^(2)-6=0 and is also passes through (3,4)

The points of intersection of the two ellipses x^2+2y^2-6x-12y + 23 = 0 and 4x^2 + 2y^2-20x-12y + 35 = 0

A point at which the ellipse 4x^(2)+9y^(2)=72 and the hyperbola x^(2)-y^(2)=5 cut orthogonally is

Find the equation of the circle passing through the points of intersection of the ellipses (x^(2))/(16) + (y^(2))/(9) =1 and (x^(2))/(9) + (y^(2))/(16) =1 .

Find the angle of intersection of the curve y^(2)=16x and 2x^(2)+y^(2)=4