Length of major axis of ellipse 9 x2 + 7 y2 = 63 is
3
9
6
2√7
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
Vertex of the parabola 9 x2 - 6 x + 36 y + 9 = 0 is
(1/3, -2/9)
(-1/3, -1/2)
(-1/3, 1/2)
(1/3, 1/2)
Equation of the directrix of parabola 2 x2 = 14 y is equal to
y = -7/4
x = -7/4
y = 7/4
x = 7/4
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 9 x2 - 16 y2 - 18 x - 64 y - 199 = 0 is
16/9
5/4
25/16
zero
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
The focal distance of a point P on the parabola y2 = 12 x, if the ordinate of P is 6, is
12
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 eccentricity of the conic is