If a circle is concentric with the ellipse, find the in­clination of their common tangent to the major axis of the ellipse.

A circle of radius 4, is concentric with the elllipse 3x^2+13y^2=78 . Prove that a common tangent is inclined to the major axis at an angle pi/4

A circle of radius 4, is concentric with the ellipse 3x^(2) + 13y^(2) = 78 . Prove that a common tangent is inclined to the major axis at an angle (pi)/(4)

An ellipse drawn by taking a diameter of the circle (x-1)^(2)+y^(2)=1 as its semiminor axis and a diameter of the circle x^(2)+(y-2)^(2)=4 as its semi-major axis. If the centre of the ellipse is at the origin and its axes are the coordinate axes, then the equation of the ellipse is

A circle of radius r is concentric with the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1 Prove that slope of the common tangent of the above curves is sqrt((r^(2)-b^(2))/(a^(2)-r^(2)))

If the length of the major axis is n times the minor axis of the ellipse, then ecccentricity is