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 distance between the foci of the hyperbola x2 - 3 y2 - 4 x - 6 y - 11 = 0 is
4
6
8
10
The eccentricity of the ellipse 9 x2 + 5 y2 - 18 x - 20 y - 16 = 0 is
1/2
2/3
3/2
2
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√3
If in a hyperbola, the distance between the foci is 10 and the transverse axis has length 8, then the length of its latus rectum is
9
9/2
32/3
64/3
If t1 and t2 be the parameters of the end points of a focal chord for the parabola y2 = 4 ax, then which one is true?
t1t2 = 1
t1t2 = -1
t1 + t2 = -1
The equation of a directrix of the ellipse is
3 y = ± 5
y = ± 5
3 y = ± 25
y = ± 3
Length of major axis of ellipse 9 x2 + 7 y2 = 63 is
3
2√7
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 equation of the chord of contact of tangents from (2,5) to the parabola y2 = 8 x is.
4 x + 10 y + 8 = 0
4 x - 10 y + 8 = 0
5 y + 4 x + 8 = 0
4 x + 10 y - 8 = 0
