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
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 conic is
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 conic 7x2 - 9y2 = 63 is equal to
3
1
The focal distance of a point P on the parabola y2 = 12 x, if the ordinate of P is 6, is
12
9
A parabola has the origin as its focus and the line x = 2 as the directrix. Then, the vertex of the parabola is at
(2,0)
(0,2)
(0,1)
(1,0)
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
If the vertex of the parabola y = x2 - 16 x + k lies on x - axis, then the value of k is
16
64
-64
