For the ellipse `4(x - 2y + 1)^2 +9(2x+y+ 2)^2 = 180`, lengths of major and minor axes are respectively

If a normal at any point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(a gt b) meet the major and minor axes at M and N respectively, such that (P M)/(P N)=(2)/(3) , then the eccentricity =

Find the centre of the ellipse (x-2)^2/4+(y-4)^2/16=1

For the ellipse 25x^(2) +9y^(2)-150x-90y +225 =0 the eccentricity e=

The foci of the ellipse 25(x+1)^(2)+9(y+2)^(2)=225 are at

Find the coordinates of the foci, the vertices, the lengths of major and minor axes and the eccentricity of the ellipse 9x^(2)+4y^(2)=36

Area of the ellipse x^(2)/9+y^(2)/4=1 is

Normal at one end of the latus rectum of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 passes through one end of minor axis, then e^(4)+e^(2)= ( where e is the eccentricity of the ellipse)

On the ellipse 4 x^(2)+9 y^(2)=1 , the point at which the tangent are parallel to 8 x=9 y are

Find the lengths of major and minor axes,the coordinate of foci, vertices and the eccentricity of the ellipse 3x^(2)+2y^(2)=6 . Also the equation of the directries.

Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the latus rectum of the ellipse (x^(2))/(25)+(y^(2))/(9)=1