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Q.

If any two chords be drawn through two points on the major axis of an ellipse equidistant from the center. The value of Tanα2Tanβ2Tanγ2Tanδ2  is where α,β,γ,δare the eccentric angles of the extremities of chords.

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answer is 1.

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Detailed Solution

eq. of chord
xacosα+β2+ybsinα+β2=cosαβ2
passes through (d, 0)
Tanα2tanβ/2=dad+aTanγ2tanδ2=d+ada

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