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JEE MATHEMATICS MCQ: ELLIPSE

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Application +4 | -1
If the chord joining two points whose eccentric angles are α\alpha and β\beta, cut the major axis of an ellipse at a distance cc from the centre, then tan⁡α2tan⁡β2=\tan \frac{\alpha}{2} \tan \frac{\beta}{2}=
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Correct option: B
c−ac+a\frac{c-a}{c+a}
Option B (c−ac+a\frac{c-a}{c+a}) is correct because it represents the relationship between the tangents of half angles and the distance c.

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