If the vertex of the parabola y = x2 - 16 x + k lies on x - axis, then the value of k is
16
8
64
-64
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
The eccentricity of the hyperbola is
3/4
3/5
The vertex of the parabola x2 + 2 y = 8 x -7 is
(9/1, 0)
(4,9/2)
(2, 9/2)
(4,7/2)
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
If the foci and vertices of an ellipse be (±1,0) and (±2,0) then the minor axis of the ellipse is
2√5
2
4
2√3
The distance between the foci of the hyperbola x2 - 3 y2 - 4 x - 6 y - 11 = 0 is
6
10
Length of major axis of ellipse 9x2 + 7y2 = 6 3 is
3
9
2√7
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
Vertex of the parabola 9x2 - 6x + 36y + 9 = 0 is
(1/3, -2/9)
(-1/3, -1/2)
(-1/3, 1/2)
(1/3, 1/2)
