An ellipse has the points `(1, -1) and (2,-1)` as its foci and `x + y = 5` as one of its tangent then the value of `a^2+b^2` where `a,b` are the lenghta of semi major and minor axes of ellipse respectively is :

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

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

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

The foci of an ellipse are located at the points (2,4) and (2,-2) . The point (4,2) lies on the ellipse. If a and b represent the lengths of the semi-major and semi-minor axes respectively, then the value of (ab)^(2) is equal to :

For the ellipse x^2+3 y^2=a^2 , find the length of major and minor axes, foci, vertices and the eccentricity.

An ellipse has point (1,-1)a n d(2,-1) as its foci and x+y-5=0 as one of its tangents. Then the point where this line touches the ellipse is (a) ((32)/9,(22)/9) (b) ((23)/9,2/9) (c) ((34)/9,(11)/9) (d) none of these

An ellipse has point (1,-1) and (2,-1) as its foci and x+y-5=0 as one of its tangents.Then the point where this line touches the ellipse is ((32)/(9),(22)/(9))( b) ((23)/(9),(2)/(9))((34)/(9),(11)/(9))(d) none of these

An ellipse has point (1,-1)a n d(2,-1) as its foci and x+y-5=0 as one of its tangents. Then the point where this line touches the ellipse is (a) ((32)/9,(22)/9) (b) ((23)/9,2/9) (c) ((34)/9,(11)/9) (d) none of these