Q.

If α,β, are the eccentric angles of the extremities of a focal chord (other than the major axis) of the ellipse x2 + 4y2 = 4 then 3 cosα+β2=

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a

2 sinα+β2=

b

2 secα+β2

c

2 cosα-β2

d

2 sinα-β2

answer is A.

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Detailed Solution

Given ellipse  x24+y21=1

 If α,β are ecentric angles of a focal chord then 

e=cosα-β2cosα+β2 4-14=cosα-β2cosα+β2 3cosα+β2=2cosα-β2

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