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 eccentricity of the conic 3x2 + 4y2 = 24 is
1/4
7/4
1/2
The locus of the point of intersection of perpendicular tangents to the ellipse is called
director circle
auxiliary circle
ellipse itself
similar ellipse
A circle is a limiting case of an ellipse whose eccentricity
tends to a
tends to b
tends to 0
tends to a + b
The line y = 2x + c touches the ellipse if c is equal to
0
± 2 √17
c = ± √15
c = ± √17
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
For the ellipse , the foci are
(± 1, 0)
(0, ± 1)
(± 1/√2, 0)
(± 1/2 , 0)
The equation x = a cos θ, y = b sin θ, 0 ≤ θ < 2 π, a ≠ b, represent
an ellipse
a parabola
a circle
a hyperbola
The equations represent
For the ellipse , the latus rectum is
1
2
