From a point on the axis of \( x \) common tangents are drawn to the parabola \( y^{2}=4 x \) an...

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From a point on the axis of \( x \) common tangents are drawn to the parabola \( y^{2}=4 x \) and the ellipse
\( \mathrm{P} \) \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1(ab0) \). If these tangents form an

W equilateral triangle with their chord of contact w.r.t parabola, then set of exhaustive values of \( a \) is
(a) \( (0,3) \)
(b) \( \left(0, \frac{3}{2}\right) \)
(c) \( \left(\frac{3}{2}, 3\right) \)
(d) \( \left(1, \frac{3}{2}\right) \)
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