JEE MATHEMATICS MCQ: ELLIPSE

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Analyzing +4 | -1

\theta_1, \theta_2, \theta_3, \theta_4

are eccentric angles of 4 concyclic points on Ellipse

\frac{x^2}{4}+\frac{y^2}{9}=1

Then

\cos \left(\frac{\theta_1+\theta_2+\theta_3+\theta_4}{4}\right)

cannot be

View answer and explanation

Correct option: D

1 / 2

Option D (

1 / 2

) is correct because the sum of the eccentric angles of four concyclic points on an ellipse is an even multiple of

\pi

, and therefore the cosine of their average cannot be

1/2

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O