The equation of the director circle of the hyperbola is
x2 + y2 = 4
x2 + y2 = 12
x2 + y2 = 16
x2 + y2 = 20
The tangents drawn at the extremities of a focal chord of a parabola.
Are parallel
Intersect on the directrix
Intersect at angle of 45o
Intersect on the tangent at the vertex
If the line y = mx + k touches the parabola x2 = 4ay, then the value of k is
a/m
am
am2
-am2
The length of latus rectum of the parabola x2 = - 16y is
- 16
- 4
16
4
The length of latus rectum of parabola y2 = 12x is
3
12
1
The equation of the parabola with its vertex at (1 , 1) and focus (3 , 1) is
(x - 1)2 = 8 (y - 1)
(y - 1)2 = 8 ( x - 3)
(y - 1)2 = 8 (x - 1)
(x - 3)2 = 8 ( y - 1)
The focus of the parabola y2 - 8x - 32 = 0 is
(-2, 0)
(0 , 2)
(4 , 0)
(2 , 0)
If the major axis of an ellipse is 3 times its minor axis, then its eccentricity is
2/3
√2/3
2√2/3
4√2/3
The eccentricity of the hyperbola 4x2 - 5y2 = 20 is
3/√5
√5/2
√5
5√5
The directrix of the parabola y2 = 16x is
x = - 4
y = - 4
x = 4
y = 4
