JEE MATHEMATICS MCQ: ELLIPSE

1 Easy

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Application +4 | -1

Tangent is drawn to the ellipse

\frac{x^2}{27}+y^2=1

(3 \sqrt{3} \cos \theta, \sin \theta)

where

\theta \in(0, \pi / 2)

. Then the value of

\theta

such that sum of intercepts on axes made by the tangent is minimum, is

View answer and explanation

Correct option: B

\pi / 6

Option B (

\frac{{\pi}}{{6}}

) is correct because it minimizes the sum of the intercepts on the axes made by the tangent.

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O