The sum of the distances of a point (2,-3) from the foci of an ellipse 16 (x-2)2 + 25 (y + 3)2 = 400 is
8
6
50
32
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 vertex of the parabola y = x2 - 16 x + k lies on x - axis, then the value of k is
16
64
-64
The equation of directrix of the ellipse is
3 y = ± 5
y = ± 5
3 y = ± 25
y = ± 3
If in a hyperbola, the distance between the foci is 10 and the transverse axis has length 8, then the length of its latus rectum is
9
9/2
32/3
64/3
The eccentricity of the hyperbola is
3/4
3/5
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
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
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 distance between the foci of the conic 7x2 - 9y2 = 63 is equal to
3
1