The focal distance of a point P on the parabola y2 = 12 x, if the ordinate of P is 6, is
12
6
3
9
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 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
The eccentricity of the hyperbola is
3/4
3/5
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
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 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 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
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
Vertex of the parabola 9 x2 - 6 x + 36 y + 9 = 0 is
(1/3, -2/9)
(-1/3, -1/2)
(-1/3, 1/2)
(1/3, 1/2)
