The distance between the foci of the conic 7x2 - 9y2 = 63 is equal to
8
4
3
1
The focal distance of a point P on the parabola y2 = 12 x, if the ordinate of P is 6, is
12
6
9
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 ellipse 9 x2 + 5 y 2 - 18 x - 20 y - 16 = 0 is
1/2
2/3
3/2
2
Length of major axis of ellipse 9x2 + 7y2 = 6 3 is
2√7
The distance between the foci of the hyperbola x2 - 3 y2 - 4 x - 6 y - 11 = 0 is
10
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 directrix of the ellipse is
3 y = ± 5
y = ± 5
3 y = ± 25
y = ± 3
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
If distance between directrices of a rectangular hyperbola is 10, then distance between its foci will be
10√2
5
5√2
20
