Consider the ellipse whose major and minor axes are x-axis and y-axis, respectively. If `phi` is the angle between the CP and the normal at point P on the ellipse, and the greatest value `tan phi` is `3/4` (where C is the centre of the ellipse). Also semi-major axis is 10 units . The eccentricity of the ellipse is

Consider the ellipse whose major and minor axes are x-axis and y-axis, respectively. If phi is the angle between the CP and the normal at point P on the ellipse, and the greatest value tan phi is 3/4 (where C is the centre of the ellipse). Also semi-major axis is 10 units . A rectangle is inscribed in a ellipse whose sides are parallel to the coordinate axes, then the maximum area of rectangle is

Consider the ellipse whose major and minor axes are x-axis and y-axis, respectively. If phi is the angle between the CP and the normal at point P on the ellipse, and the greatest value tan phi is 3/4 (where C is the centre of the ellipse). Also semi-major axis is 10 units . Locus of the point of intersection of perpendicular tangents to the ellipse is:

The eccentricity of the ellipse whose major axis is double the minor axis is

Let x + 6y = 8 is tangent to standard ellipse where minor axis is 4/sqrt3 , then eccentricity of ellipse is

Let x + 6y = 8 is tangent to standard ellipse where minor axis is 4/sqrt3 , then eccentricity of ellipse is

The length of the major axis is three times the length of minor axis, then the eccentricity of the ellipse is

Find the equation of the ellipse whose major axis is 8 and minor axis is 4.

Find the equation of the ellipse whose major axis is 8 and minor axis is 4.

If the normal at any point P on the ellipse cuts the major and minor axes in G and g respectively and C be the centre of the ellipse, then

If the normal at any point P on the ellipse cuts the major and minor axes in G and g respectively and C be the centre of the ellipse, then