The vertex of the parabola (y - 2)2 = 16 (x - 1) is
(2 , 1)
(1 , -2)
(-1, 2)
(1 , 2)
The co-ordinates of the focus of the parabola x2 - 6y is.
(0 , 0)
(3, 0)
(0 , 3/2)
(0 , 5)
The distance from the centre of the ellipse to one of the foci and one of the vertices of the ellipse is called ____________.
Eccentricity
Ellipse
Focal length
None of these
The equation of directrix of parabola y2 = 12 x is
3
-3
4
-4
The equation of the ellipse whose latus rectum is 8 and eccentricity 1/√2 , is
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 length of latus rectum of the parabola x2 = - 16y is
- 16
- 4
16
If the line y = mx + k touches the parabola x2 = 4ay, then the value of k is
a/m
am
am2
-am2
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 equation of the director circle of the hyperbola is
x2 + y2 = 4
x2 + y2 = 12
x2 + y2 = 16
x2 + y2 = 20