The equation of normal at the point ( 0 , 3) of the ellipse 9x2 + 5y2 = 45 is.
y - 3 = 0
y + 3 = 0
x - axis
y - axis
The equation of directrix of parabola y2 = 12 x is
3
-3
4
-4
The eccentricity of the hyperbola 4x2 - 5y2 = 20 is
3/√5
√5/2
√5
5√5
The focus of the parabola y2 - 8x - 32 = 0 is
(-2, 0)
(0 , 2)
(4 , 0)
(2 , 0)
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 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
The co-ordinates of the focus of the parabola x2 - 6y is.
(0 , 0)
(3, 0)
(0 , 3/2)
(0 , 5)
The length of latus rectum of the parabola x2 = - 16y is
- 16
- 4
16
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 distance between the foci of an ellipse is 16 and eccentricity is 1/2.The length of the major axis of ellipse is
8
64
32