Coordinate Geometry: JEE Main 2022 Mathematics question

JEE Main 2022 · 24 Jun, Evening shift · Q3761

JEE Main 202224 Jun, Evening shiftMathematicsHardCoordinate Geometry478× since 2002

Let the maximum area of the triangle that can be inscribed in the ellipse

{{{x^2}} \over {{a^2}}} + {{{y^2}} \over 4} = 1,\,a > 2

, having one of its vertices at one end of the major axis of the ellipse and one of its sides parallel to the y-axis, be

6\sqrt 3

. Then the eccentricity of the ellipse is :

JEE Main 2022 · 24 Jun, Evening shift · Q3761

JEE Main 202224 Jun, Evening shiftMathematicsHardCoordinate Geometry478× since 2002

Let the maximum area of the triangle that can be inscribed in the ellipse

{{{x^2}} \over {{a^2}}} + {{{y^2}} \over 4} = 1,\,a > 2

, having one of its vertices at one end of the major axis of the ellipse and one of its sides parallel to the y-axis, be

6\sqrt 3

. Then the eccentricity of the ellipse is :

More on Coordinate Geometry