EllipseHard
Question
The area (in sq. units) of the quadrilateral formed by the tangents at the end points of the latera recta to the ellipse
is :
Options
A.27 / 2
B.27
C.27 / 4
D.18
Solution

a = 3, b = √5
5 = 9(1 - e2)
e =
Equation of tangent at (2, 5/3)
∴ (0, 3) and
Create a free account to view solution
View Solution FreeMore Ellipse Questions
In an ellipse the distance between its foci is 6 and its minor axis is 8. Then its eccentricity is-...The tangent at any point on the ellipse = 1 meets the tangents at the vertices A, A′ in L and L′. Then AL. A...The sum of the squares of the perpendicular on any tangent to the ellipse = 1 from two points on the minor axis each dis...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 curve represented by x = 3 (cost + sin t), y = 4 (cost - sin t), is -...