The ellipse ` E_(1) : x^(2)/9 + y^(2)/4` =1 is inscribed in a rectangle R whose sides are parallel to the coordinate axes. Another ellipse ` E_(2)` passing through the point (0,4) circumscribes the rectangle R. The eccentricity of the ellispe is

The ellipse E_(1):(x^(2))/(9)+(y^(2))/(4)=1 is inscribed in a rectangle R whose sides are parallel to the coordinate axes.Another ellipse E_(2) passing through the point (0,4) circumscribes the rectangle R. The eccentricity of the ellipse E_(2) is (sqrt(2))/(2) (b) (sqrt(3))/(2) (c) (1)/(2) (d) (3)/(4)

The ellipse E_1:(x^2)/9+(y^2)/4=1 is inscribed in a rectangle R whose sides are parallel to the coordinate axes. Another ellipse E_2 passing through the point (0, 4) circumscribes the rectangle Rdot The eccentricity of the ellipse E_2 is (a) (sqrt(2))/2 (b) (sqrt(3))/2 (c) 1/2 (d) 3/4

The ellipse E_1:(x^2)/9+(y^2)/4=1 is inscribed in a rectangle R whose sides are parallel to the coordinate axes. Another ellipse E_2 passing through the point (0, 4) circumscribes the rectangle Rdot The eccentricity of the ellipse E_2 is (sqrt(2))/2 (b) (sqrt(3))/2 (c) 1/2 (d) 3/4

The ellipse E_(1):(x^(2))/(9)+(y^(2))/(4)=1 is inscribed in a rectangle R whose sides are parallel to the coordinates axes. Another ellipse E_(2) passing through the point (0, 4) circumscribes the rectangle R. The length (in units) of the major axis of ellipse E_(2) is

The ellipse E:(x^(2))/(25)+(y^(2))/(16)=1 is inscribed in a rectangle R whose sides are parallel to the coordinate axes. A hyperbola (with same centre and transverse axis same as major axis of ellipse) intersects the ellipse orthogonally and passes through the vertices of the rectangle.Then eccentricity of the hyperbola is

The ellipse x^(2)+4y^(2)=4 is inscribed in a rectangle aligned with the coordinate axes, which in turn is inscribed in another ellipse that passes through the point (4, 0). Then the equation of the ellipse is

The ellipse x^(2)+4 y^(2)=4 is inscribed in a rectangle aligned with coordinate axes, which in turn is inscribed in another ellipse that passes through the point (4,0) . Then the equation of the ellipse is

If the ellipse x^2/a^(2)+y^2/b^(2)=1 is inscribed in a rectangle whose length to breadth ratio is 2 :1 then the area of the rectangle is