EllipseHard
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
An ellipse has OB as semi minor axis, F and F′ its focii and the angle FBF′ is a right angle. Then the eccen...The line x cos α + y sin α = p will be a tangent to the conic = 1, if-...The length of the latus rectum of the ellipse = 1 is -...P is a point on the ellipse . The in-radius of ᐃPSS′ (S and S′ are focii), where its area is maximum....If the eccentricity of the ellipse be , then latus rectum of ellipse is -...