The equation of a directrix of the ellipse is
y = 25/3
x = 3
x = -3
x = 3/25
The diameter of 16x2 - 9y2 = 144 which is conjugate to x = 2y is
y = 16/9 x
y = 32/9 x
x = 16/9 y
x = 32/9 y
The equation represents
an ellipse
a parabola
a hyperbola
a circle
The eccentricity of the conic 3x2 + 4y2 = 24 is
1/4
7/4
1/2
Sum of the focal distance of an ellipse is equal to
2 b
2 a
2 ab
a + b
For the ellipse , the foci are
(± 1, 0)
(0, ± 1)
(± 1/√2, 0)
(± 1/2 , 0)
If e,e' be the eccentricities of two conics S and S' and if e2 + e'2 = 3, then both S and S' can be
Ellipses
Parabola
Hyperbolas
None of these
The line y = 2x + c touches the ellipse if c is equal to
0
± 2 √17
c = ± √15
c = ± √17
The locus of the points of intersection of perpendicular tangents to is
x2 + y2 = a2 + b2
x2 - y2 = a2 - b2
x2 + y2 = a2 - b2
x2 - y2 = a2 + b2
The line y = 4x + c touches the hyperbola x2 - y2 = 1 iff
c = 0
c = ± √2
