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
If PSQ is a focal chord of the ellipse = 1, a > b, then the harmonic mean of SP and SQ is...Let P be a variable point on the ellipse = 1 with foci S and S′. If A be the area of triangle PSS′, then max...The locus of the point of intersection of mutually perpendicular tangent to the ellipse = 1, is-...If the eccentricity of the hyperbola x2 - y2 sec2θ = 4 is √3 times the eccentricity of the ellipse x2sec2_...The eccentricity of ellipse which meets straight line 2x − 3y = 6 on the X axis and 4x + 5y = 20 on the Y axis and...