The line y = 2x + c touches the ellipse if c is equal to
0
± 2 √17
c = ± √15
c = ± √17
The equation of the ellipse whose focus is (1, -1),directrix x - y - 3 = 0 and eccentricity 1/2 is
7x2 + 2xy + 7y2 - 10x + 10y + 7 = 0
7x2 + 2xy + 7y2 + 7 = 0
7x2 + 2xy + 7y2 + 10x - 10y - 7 = 0
None of these
The distance of a focus of the ellipse 9x2 + 16y2 = 144 from an end of the minor axis is
3/2
3
4
The equations represent
a circle
an ellipse
a parabola
a hyperbola
Sum of the focal distance of an ellipse is equal to
2 b
2 a
2 ab
a + b
The sum of distance of any point on the ellipse 3x2 + 4y2 = 24 from its foci is
8 √2
4 √2
16 √2
The equation x = a cos θ, y = b sin θ, 0 ≤ θ < 2 π, a ≠ b, represent
The equation of a directrix of the ellipse is
y = 25/3
x = 3
x = -3
x = 3/25
The line x cos α + y sin α = P is tangent to the ellipse if
a2 cos2 α - b2 sin2 α = P2
a2 sin2 α + b2 cos2 α = P2
a2cos2 α + b2 sin2 α = P2
a2cos2 α + b2 sin2 α = P
The locus of the point of intersection of perpendicular tangents to the ellipse is called
director circle
auxiliary circle
ellipse itself
similar ellipse
