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

If e and e' are the eccentricities of the ellipse 5x^(2)+9y^(2)=45 and the hyperbola 5x^(2)-4y^(2)=45 then ee' = A.9 B.5 C.4 D.1

If e and e' are the eccentricities of the ellipse 5x^(2) + 9 y^(2) = 45 and the hyperbola 5x^(2) - 4y^(2) = 45 respectively , then ee' is equal to

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 point of intersection of the lines 2x-3y+8=0 and 4x+5y=6

In how many points do the ellipse x^(2)/4+y^(2)/8=1 and the circle x^(2)+y^(2)=9 intersect ?

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)

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