Let an ellipse with centre (1,0) and latus rectum of length 1/2 have its major axis along x -axis. If its minor axis subtends an angle 60^(°) at the foci, then the square of the sum of the lengths of its minor and major axes is equal to _ _ _ _ _ _.

Coordinate Geometry: JEE Main 2023 Mathematics question

JEE Main 2023 · 15 Apr, Morning shift · Q35

JEE Main 202315 Apr, Morning shiftMathematicsMediumCoordinate Geometry478× since 2002

Let an ellipse with centre

(1,0)

and latus rectum of length

\frac{1}{2}

have its major axis along

\mathrm{x}

-axis. If its minor axis subtends an angle

60^{\circ}

at the foci, then the square of the sum of the lengths of its minor and major axes is equal to ____________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2023 Coordinate Geometry Question with Answer (15 Apr Morning shift, Q35) | JEE Arc