Sum of the focal distance of an ellipse is equal to
2 b
2 a
2 ab
a + b
The equation of the ellipse with foci at (± 3, 0) and vertices at (± 5, 0) is
The equations represent
a circle
an ellipse
a parabola
a hyperbola
The line y = 2x + c touches the ellipse if c is equal to
0
± 2 √17
c = ± √15
c = ± √17
The eccentricity of the conic 3x2 + 4y2 = 24 is
1/4
7/4
1/2
A circle is limiting case of an ellipse whose eccentricity
tends to a
tends to b
tends to 0
tends to a + b
The sum of distance of any point on the ellipse 3x2 + 4y2 = 24 from its foci is
8 √2
4 √2
16 √2
None of these
The equation x = a cos θ, y = b sin θ, 0 ≤ θ < 2 π, a ≠ b, represent
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 locus of the point of intersection of perpendicular tangents to the ellipse is called
director circle
auxiliary circle
ellipse itself
similar ellipse
