The equation of the ellipse with foci at (± 3, 0) and vertices at (± 5, 0) is
The equation represents an ellipse iff
r > 2
r > 5
2 < r < 5
None of these
The line y = 2x + c touches the ellipse if c is equal to
0
± 2 √17
c = ± √15
c = ± √17
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
The line x cos α + y sin α = P is tangent to the ellipse if
a2 cos2 α - b2 sin2 α = P2
a2 sin2 α + b2 cos2 α = P2
a2cos2 α + b2 sin2 α = P2
a2cos2 α + b2 sin2 α = P
The distance of a focus of the ellipse 9x2 + 16y2 = 144 from an end of the minor axis is
3/2
3
4
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 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
