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A point mass is subjected to two simultaneous sinusoidal displacements in \( x \)-direction, \( x_{1}(t)=A \sin \omega t \quad \) and
\( \mathrm{P} \) \( x_{2}(t)=A \sin \left(\omega t+\frac{2 \pi}{3}\right) \). Adding \( a \) third sinusoidal

W displacement \( x_{3}(t)=B \sin (\omega t+\phi) \) brings the mass to a complete rest. The values of \( B \) and \( \phi \) are [IIT-JEE 2011]
(a) \( \sqrt{2} A, \frac{3 \pi}{4} \)
(b) \( A, \frac{4 \pi}{3} \)
(c) \( \sqrt{3} A, \frac{5 \pi}{6} \)
(d) \( A, \frac{\pi}{3} \)
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