Which of the following statements is `//` are correct ?

Options

A. The amplitude of a resultant simple harmonic motion obtained by superposition of two simple harmonic motions along the same direction can be less than lesser of the amplitudes of the participating `SHMs`.
B. When two simple harmonic motions which are in phase and in perpendiuclar directions superpose then resulting motion will be `SHM` with same phase.
C. When two simple harmonic motions `(` with amplitudes `A_(1)` and `A_(2))` which are out of phase `(` that means phase difference `pi )` and in perpendicular directions, superpose then resulting motion will be `SHM` with amplitude `sqrt(A_(1)^(2)+A_(2)^(2))`.
D. The combination of two simple harmonic motions of equal amplitude in perpendicular directions differing in phase by `pi//2 rad` is a circular motion.

Answer

A, B, C, D