If $\alpha, \beta$ are the eccentric angles of the extremities of a focal chord (other than the major axis)…

If $\alpha, \beta$ are the eccentric angles of the extremities of a focal chord (other than the major axis) of the ellipse $x^2+4 y^2=4$ then $\sqrt{3} \cos \frac{\alpha+\beta}{2}=$
  1. $2 \cos \frac{\alpha-\beta}{2}$
  2. $2 \sin \frac{\alpha-\beta}{2}$
  3. $2 \sec \frac{\alpha+\beta}{2}$
  4. $2 \sin \frac{\alpha+\beta}{2}$

Solution

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Asked in: AP EAMCET 2018 (24 Apr Shift 2)

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