The eccentric angle of the extremities of latusrecta of the ellipse are given by
The coordinates of any point on the ellipse whose eccentric angle is
The coordinates of the end points of latusrecta are .
If the latusrectum of an ellipse is equal to one half of its minor axis, then the eccentricity is equal to
The eccentricity of the ellipse, if the distance between the foci is equal to the length of the latusrectum, is
The equation of the circle drawn with the two foci of as the end-points of a diameter, is
The foci of the conic 25x2 +16y2 – 150x = 175 are
The foci of the ellipse are
The vertices of the ellipse
The equation of the ellipse, with axes parallel to the coordinate axes, whose eccentricity is 1/3 and foci are at (2, –2) and (2, 4) is
For the ellipse
lengths of major and minor axes are respectively.
The equation of the ellipse whose axes are of lengths 6 and and their equations are x – 3y + 3 = 0 and 3x + y – 1 = 0 respectively, is
If the line lx + my + n = 0 cuts the ellipse in points whose eccentric angles differ by π/2, then