The locus of the point of intersection of perpendicular tangents to the ellipse is called
director circle
auxiliary circle
ellipse itself
similar ellipse
The equation of the ellipse with foci at (± 3, 0) and vertices at (± 5, 0) is
The distance of a focus of the ellipse 9x2 + 16y2 = 144 from an end of the minor axis is
3/2
3
4
None of these
The sum of distance of any point on the ellipse 3x2 + 4y2 = 24 from its foci is.
8 √2
4 √2
16 √2
The equation of a directrix of the ellipse is
y = 25/3
x = 3
x = -3
x = 3/25
The equation of the ellipse whose focus is (1, -1), directrix x - y - 3 = 0 and eccentricity 1/2 is
7x2 + 2xy + 7y2 - 10x + 10y + 7 = 0
7x2 + 2xy + 7y2 + 7 = 0
7x2 + 2xy + 7y2 + 10x - 10y -7 = 0
For the ellipse , the foci are
(± 1, 0)
(0, ± 1)
(± 1/√2, 0)
(± 1/2 , 0)
The eccentricity of the conic 3x2 + 4y2 = 24 is
1/4
7/4
1/2
The eccentricity of an ellipse whose latus rectum is half of its major axis is
1/√2
√3/2
Sum of the focal distance of an ellipse is equal to
2 b
2 a
2 ab
a + b
