JEE MATHEMATICS MCQ: ELLIPSE

1 Easy

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Analyzing +4 | -1

If the maximum distance of any point on the ellipse

x^2+2 y^2+2 x y=1

from its center is

r

, then

r

is equal to

View answer and explanation

Correct option: B

\frac{\sqrt{5}+1}{2}

Option B (

\frac{{\sqrt{{5}}+1}}{{2}}

) is correct because it represents the maximum distance from the center to any point on the ellipse, derived by maximizing the distance function.

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O