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 ellipse 9 x2 + 5 y 2 - 18 x - 20 y - 16 = 0 is
1/2
2/3
3/2
2
The directrix of the parabola y2 + 4 x + 3 = 0 is
x - 4/3 = 0
x + 1/4 = 0
x - 3/4 = 0
x - 1/4 = 0
The sum of the focal distance from any point on the ellipse 9 x2 + 16 y2 = 144 is
3
6
8
4
The eccentricity of the hyperbola 9 x2 - 16 y2 - 18 x - 64 y - 199 = 0 is
16/9
5/4
25/16
zero
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)
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√3
If distance between directrices of a rectangular hyperbola is 10, then distance between its foci will be
10√2
5
5√2
20
Equation of the latus rectum of the ellipse 9 x2 + 4 y2 - 18 x - 8 y - 23 = 0 are
y = ± √5
x = ± √5
y = 1 ± √5
x = -1 ± √5
The eccentricity of the hyperbola is
3/4
3/5
