EllipseEasy
Question
In an ellipse, the distance between its foci is 6 and minor axis is 8. Then its eccentricity is
Options
A.
B.
C.
D.
Solution
2ae = 6 ⇒ ae = 3
2b = 8 ⇒ b = 4
b2 = a2(1 - e2)
16 = a2 - a2e2
a2 = 16 + 9 = 25
a = 5
∴ e =
2b = 8 ⇒ b = 4
b2 = a2(1 - e2)
16 = a2 - a2e2
a2 = 16 + 9 = 25
a = 5
∴ e =
Create a free account to view solution
View Solution FreeMore Ellipse Questions
If the distance between the foci of an ellipse is half the length of its latus rectum, then the eccentricity of theellip...The foci of a hyperbola lie at the vertices of the ellipse = 1 and its directrixes pass through the foci of the ellipse....A point, ratio of whose distance from a fixed point and line x = 9/2 is always 2 : 3. Then locus of the point will be -...The equation to the ellipse (referred to its axes as the axes of x and y respectively) whose foci are (± 2, 0) and ...An ellipse intersects the hyperbola 2x2 - 2y2 = 1 orthogonally. The eccentricity of the ellipse is reciprocal of that of...