If the minimum area of the triangle formed by a tangent to the ellipse (x²)/(b²) + (y²)/(4a²) = 1 and the co-ordinate axis is kab, then k is equal to _ _ _ _ _ _ _ _.

Coordinate Geometry: JEE Main 2021 Mathematics question

JEE Main 2021 · 27 Aug, Morning shift · Q35

JEE Main 202127 Aug, Morning shiftMathematicsMediumCoordinate Geometry478× since 2002

If the minimum area of the triangle formed by a tangent to the ellipse

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

and the co-ordinate axis is kab, then k is equal to _______________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 · 27 Aug, Morning shift · Q35

JEE Main 202127 Aug, Morning shiftMathematicsMediumCoordinate Geometry478× since 2002

If the minimum area of the triangle formed by a tangent to the ellipse

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

and the co-ordinate axis is kab, then k is equal to _______________.

Your answerType your answer. Integers and decimals are accepted.