Sum of the focal distance of an ellipse is equal to
2 b
2 a
2 ab
a + b
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 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 of the ellipse with foci at (± 3, 0) and vertices at (± 5, 0) is
For the ellipse , the foci are
(± 1, 0)
(0, ± 1)
(± 1/√2, 0)
(± 1/2 , 0)
The latus rectum of the ellipse 5x2 + 9y2 = 45 is
10/3
5/3
5√5/3
10√5/3
A circle is limiting case of an ellipse whose eccentricity
tends to a
tends to b
tends to 0
tends to a + b
The equation x = a cos θ, y = b sin θ, 0 ≤ θ < 2 π, a ≠ b, represent
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
