JEE MATHEMATICS MCQ: ELLIPSE

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Application +4 | -1

Let

\left( {\mathrm{\alpha },\mathrm{\beta }} \right)

be a point from which two perpendicular tangents can be drawn to the ellipse

4{x^2} + 5{y^2} = 20.

F = 4\mathrm{\alpha } + 3\mathrm{\beta }

, then

View answer and explanation

Correct option: A

- 15 \le F \le 15

Option A (

- 15 \le F \le 15

) is correct because the point

(\alpha, \beta)

lies on the director circle of the ellipse, and by expressing

\alpha

and

\beta

in terms of trigonometric functions, we can find the range of

F

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O