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A parabola is drawn through two given po...

A parabola is drawn through two given points `A(1,0)` and `B(-1,0)` such that its directrix always touches the circle `x² + y^2 = 4.` Then, The locus of focus of the parabola is=

A

`(x^(2))/(4) +(y^(2))/(3) = 1`

B

`(x^(2))/(4) +(y^(2))/(5) =1`

C

`(x^(2))/(3)+(y^(2))/(4) = 1`

D

`(x^(2))/(5)+(y^(2))/(4)=1`

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The correct Answer is:
A
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