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
Length of major axis of ellipse 9x2 + 7y2 = 6 3 is
3
9
6
2√7
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 eccentricity of the ellipse 9 x2 + 5 y 2 - 18 x - 20 y - 16 = 0 is
1/2
2/3
3/2
2
The equation of the latus rectum of the parabola x2 + 4 x + 2 y = 0 is equal to
2 y + 3 = 0
3 y = 2
2 y = 3
3 y + 2 = 0
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
8
50
32
The eccentricity of the hyperbola 9 x2 - 16 y2 - 18 x - 64 y - 199 = 0 is
16/9
5/4
25/16
zero
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
4/3
The equation of directrix of the ellipse is
3 y = ± 5
y = ± 5
3 y = ± 25
y = ± 3
