EllipseHard
Question
The line passing through the extremity A of the major axis and extremity B of the minor axis of the ellipse x2 + 9y2 = 9 meets its auxiliary circle at the point M. Then the area of the triangle with vertices at A, M and the origin O is
Options
A.

B.

C.

D.

Solution
Equation of line AM is x + 3y - 3 = 0
Perpendicular distance of line from origin =
Length of AM = 2
⇒ Area =
sq. units.
Perpendicular distance of line from origin =

Length of AM = 2

⇒ Area =
sq. units.Create a free account to view solution
View Solution FreeMore Ellipse Questions
The locus of the point of intersection of mutually perpendicular tangent to the ellipse = 1, is-...Arrangement of the following ellipses in ascending order of the radii of their director circles (P) 4x2 + 9y2 = 36 (Q) 3...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 locus of the point of intersection of the perpendicular tangents to the ellipse = 1 is...The eccentricity of an ellipse, with its centre at the origin, is . If one of the directrices is x = 4, then the equatio...