The eccentricity of the hyperbola is
3/4
3/5
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
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 sum of the focal distance from any point on the ellipse 9 x2 + 16 y2 = 144 is
3
Length of major axis of ellipse 9x2 + 7y2 = 6 3 is
9
2√7
The eccentricity of the hyperbola 9 x2 - 16 y2 - 18 x - 64 y - 199 = 0 is
16/9
5/4
25/16
zero
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
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 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
