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The eccentric angle of a point \( P \) lying in the first
\( \mathrm{P}^{13} \) quadrant on the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \) is \( \theta \).

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If \( O P \) makes an angle \( \phi \) with \( x \)-axis, then \( \theta-\phi \) will be maximum when \( \theta= \)
(1) \( \tan ^{-1} \sqrt{\frac{a}{b}} \)
(2) \( \tan ^{-1} \sqrt{\frac{b}{a}} \)
(3) \( \frac{\pi}{4} \)
(4) \( \frac{\pi}{3} \)
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