JEE MATHEMATICS MCQ: ELLIPSE

1 Easy

1 of 1

Application +4 | -1

The eccentric angle of the point of contact of the line

\frac{x}{a} + \frac{y}{b} = \sqrt 2

with the ellipse

\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{b^2}}} = 1,

View answer and explanation

Correct option: C

\frac{\pi }{4}

Option C (

\frac{\pi }{4}

) is correct because the eccentric angle is found by equating the given line to the tangent equation of the ellipse and solving for the angle.

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