An ellipse has eccentricity \( 1 / 2 \) and one focus at the point \( P(1 / 2,1) \). Its one dir...

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An ellipse has eccentricity \( 1 / 2 \) and one focus at the point \( P(1 / 2,1) \). Its one directrix is the common
\( \mathrm{P} \) tangent nearer to the point \( P \), to the circle \( x^{2}+y^{2}=1 \)

W and the hyperbola \( x^{2}-y^{2}=1 \). The equation of the ellipse is standard form is
(a) \( 9 x^{2}+12 y^{2}=108 \)
(b) \( 9(x-1 / 3)^{2}+12(y-1)^{2}=1 \)
(c) \( 9(x-1 / 3)^{2}+4(y-1)^{2}=36 \)
(d) None of the above
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