If the line x – 2y = 12 is tangent to the ellipse (x²)/(a²) + (y²)/(b²) = 1 at the point (3, - 9/2), then the length of the latus rectum of the ellipse is:

Coordinate Geometry: JEE Main 2019 Mathematics question

JEE Main 2019 · 10 Apr, Morning shift · Q3776

JEE Main 201910 Apr, Morning shiftMathematicsMediumCoordinate Geometry478× since 2002

If the line x – 2y = 12 is tangent to the ellipse

{{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1

at the point

\left( {3, - {9 \over 2}} \right)

, then the length of the latus rectum of the ellipse is :

JEE Main 2019 · 10 Apr, Morning shift · Q3776

JEE Main 201910 Apr, Morning shiftMathematicsMediumCoordinate Geometry478× since 2002

If the line x – 2y = 12 is tangent to the ellipse

{{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1

at the point

\left( {3, - {9 \over 2}} \right)

, then the length of the latus rectum of the ellipse is :