S and T are The Foci Of An Ellipse And B is An End Of The Minor Axis. If STB is An Equilateral Triangle, The Eccentricity Of The Ellipse Is 

A tangent to the ellipse x² + 4y² = 4 meets the ellipse x² + 2y² = 6 at P and Q. Then angle between the tangents at P and Q of the ellipse  x² + 2y² = 6 is

Tangents are drawn to the ellipse  at the end of latus rectum. Find the area of quadrilateral so formed   

The eccentricity of the ellipse which meets the straight line  on the axis of x and the straight line  on the axis of y and whose axes lies along the axes of coordinates is

The line lx + my + n = 0 is a normal to the ellipse  if

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 center of the ellipse

The angle between the pair of tangents drawn from the point (1, 2) to the ellipse 3x² + 2y² = 5 is

The ellipse  cuts x-axis at A and A’ and y-axis at Band B’. The line joining the focus S and B makes an angle  with x-axis. The eccentricity of the ellipse is

A circle is drawn on the major axis of the ellipse 9x² + 16y² = 144 as diameter. The equation of circle is

The equation  represents an ellipse, if

The locus of mid-points of focal chords of the ellipse  is