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
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
If distance between directrices of a rectangular hyperbola is 10, then distance between its foci will be
10√2
5
5√2
20
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 equation of directrix of the ellipse is
3 y = ± 5
y = ± 5
3 y = ± 25
y = ± 3
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
The eccentricity of the hyperbola is
3/4
3/5
The distance between the foci of the hyperbola x2 - 3 y2 - 4 x - 6 y - 11 = 0 is
8
10
If the vertex of the parabola y = x2 - 16 x + k lies on x - axis, then the value of k is
16
64
-64
The sum of the focal distance from any point on the ellipse 9 x2 + 16 y2 = 144 is