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 distance between the foci of the conic 7 x2 - 9 y2 = 63 is equal to
4
3
1
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 eccentricity of the ellipse 9 x2 + 5 y2 - 18 x - 20 y - 16 = 0 is
1/2
2/3
3/2
2
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 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
Length of major axis of ellipse 9 x2 + 7 y2 = 63 is
9
2√7
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 equation of the chord of contact of tangents from (2,5) to the parabola y2 = 8 x is.
4 x + 10 y + 8 = 0
4 x - 10 y + 8 = 0
5 y + 4 x + 8 = 0
4 x + 10 y - 8 = 0
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)
