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Consider the ellipse (x^(2))/(4) + (y^...

Consider the ellipse
`(x^(2))/(4) + (y^(2))/(3) = 1`
Let H`(alpha , 0) , 0 lt alpha lt 2 `, be a point . A straight line drawn through H parallel to the y-axis crosses the ellipse and its auxiliary circle at points E and F respectively , in the first quadrant . The tangent to the ellipse at the point E intersects the positive x-axis at a point G . Suppose the straight line joining F and the origin makes an angle `phi` with the positive x-axis .

The correct option is :

A

`(I) to (R ) , (II) to (S ) , (III) to (Q) , (IV) to (P)`

B

`(I) to (R ) , (II) to (T ) , (III) to (S) , (IV) to (P)`

C

`(I) to (Q ) , (II) to (T ) , (III) to (S) , (IV) to (P)`

D

`(I) to (Q ) , (II) to (S ) , (III) to (Q) , (IV) to (P)`

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