A circle is limiting case of an ellipse whose eccentricity
tends to a
tends to b
tends to 0
tends to a + b
The locus of the point of intersection of perpendicular tangents to the ellipse is called
director circle
auxiliary circle
ellipse itself
similar ellipse
The locus of the centre of the circle x2 + y2 + 4x cos θ - 2y sin θ - 10 = 0 is
an ellipse
a circle
a hyperbola
a parabola
The equation of a directrix of the ellipse is
y = 25/3
x = 3
x = -3
x = 3/25
The equations represent
The equation ax2 + 2 hxy + by2 + 2 gx + 2 fy + c = 0 represents an ellipse if
Δ 0, h2 < ab
Δ ≠ 0, h2 < ab
Δ ≠ 0, h2 > ab
Δ ≠ 0, h2 = ab
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
For the ellipse , the latus rectum is
1/2
1
2
The equation represents an ellipse iff
r > 2
r > 5
2 < r < 5
For the ellipse , the foci are
(± 1, 0)
(0, ± 1)
(± 1/√2, 0)
(± 1/2 , 0)