The equation of the ellipse with foci at (± 3, 0) and vertices at (± 5, 0) is
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
None of these
Sum of the focal distance of an ellipse is equal to
2 b
2 a
2 ab
a + b
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 latus rectum of the ellipse 5x2 + 9y2 = 45 is
10/3
5/3
5√5/3
10√5/3
The eccentricity of an ellipse whose latus rectum is half of its major axis is
1/√2
√3/2
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 sum of distance of any point on the ellipse 3x2 + 4y2 = 24 from its foci is.
8 √2
4 √2
16 √2
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
