Vertex of the parabola 9x2 - 6x + 36y + 9 = 0 is
(1/3, -2/9)
(-1/3, -1/2)
(-1/3, 1/2)
(1/3, 1/2)
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
8
6
50
32
The distance between the foci of the conic 7x2 - 9y2 = 63 is equal to
4
3
1
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
The sum of the focal distance from any point on the ellipse 9 x2 + 16 y2 = 144 is
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
10
If the foci and vertices of an ellipse be (±1,0) and (±2,0) then the minor axis of the ellipse is
2√5
2
2√3
The eccentricity of the hyperbola 9 x2 - 16 y2 - 18 x - 64 y - 199 = 0 is
16/9
5/4
25/16
zero
The vertex of the parabola x2 + 2 y = 8 x -7 is
(9/1, 0)
(4,9/2)
(2, 9/2)
(4,7/2)
