Superposition of SHMs

Match List - I with List - II.

Choose the correct answer from the options given below :

Two waves executing simple harmonic motions travelling in the same direction with same amplitude and frequency are superimposed. The resultant amplitude is equal to the $\sqrt3$ times of amplitude of individual motions. The phase difference between the two motions is ______ (degree).

$x$ and $y$ displacements of a particle are given as $x(t)=a\sin\omega t$ and $y(t)=a\sin2\omega t$. Its trajectory will look like :

A particle which is simultaneously subjected to two perpendicular simple harmonic motions represented by ; $x=a_1\cos\omega t$ and $y=a_2\cos2\omega t$ traces a curve given by :

A point mass is subjected to two simultaneous sinusoidal displacements in x-direction, $x_1(t)=A\sin\omega t$ and $x_2(t)=A\sin\left(\omega t+\dfrac{2\pi}3\right)$. Adding a third sinusoidal displacement $x_3(t)=B\sin(\omega t+\phi)$ brings the mass to a complete rest. The values of $B$ and $\phi$ are