The equation(s) of the tangent(s) to the ellipse 9(x - 1)2 + 4y2 = 36 parallel to the latus rectum, is (are)

The eccentric angles of the extremities of latus rectum of the ellipse a 2 x 2 ​ + b 2 y 2 ​ =1 are given by:

The equations of the common tangents to the ellipse, x² + 4y² = 8 & the parabola y² = 4x are

Find an equation for the tangent to the ellipse (x2/4) + y2 = 2 at the point (−2, 1).

Consider the ellipse  x29 + y25  =  1 , then which of the following is (are) TRUE?Area of parallelogram formed by tangents at end points of latus rectum is 27 sq. units.Area of the parallelogram formed by tangents at end points of latus rectum is  272  sq. units.Area of rectangle formed by vertices of end points of latus rectum is  203  sq. units.Area of parallelogram formed by end points of major & minor axis is  6√5  sq. units.

The foci of the ellipse 9x2 + 4y2 –18x –24y + 9 = 0 are