A focus of an ellipse is at the origin. The directrix is the line x = 4 and the eccentricity is 1/2, then length of semi major axis is
5/3
8/3
2/3
4/3
Equation of the latus rectum of the ellipse 9 x2 + 4 y2 - 18 x - 8 y - 23 = 0 are
y = ± √5
x = ± √5
y = 1 ± √5
x = -1 ± √5
The distance between the foci of the hyperbola x2 - 3 y2 - 4 x - 6 y - 11 = 0 is
4
6
8
10
Length of major axis of ellipse 9 x2 + 7 y2 = 63 is
3
9
2√7
The equation y2 - 2 y +8 x - 23 = 0 represents.
A pair of straight lines with (1,3) as the common point.
An ellipse with 2 and 4 as semi axes
A parabola with y = 1 as the axis
A parabola with (1,3) as the vertex
Equation of the directrix of parabola 2 x2 = 14 y is equal to
y = -7/4
x = -7/4
y = 7/4
x = 7/4
A parabola has the origin as its focus and the line x = 2 as the directrix. Then, the vertex of the parabola is at
(2,0)
(0,2)
(0,1)
(1,0)
The sum of the distances of a point (2,-3) from the foci of an ellipse 16 (x - 2)2 + 25 (y - 3)2 = 400 is
50
32
The directrix of the parabola y2 + 4 x + 3 = 0 is
x - 4/3 = 0
x + 1/4 = 0
x - 3/4 = 0
x - 1/4 = 0
The equation of a directrix of the ellipse is
3 y = ± 5
y = ± 5
3 y = ± 25
y = ± 3
