A particle of mass m moves in a striaght line . If v is the velocity are distance x from a fixed point on the line varies as `v^(2)=a-bx^(2)`, where and b are +ve constants, then

Options

A. the motion continues along the +ve x-direction only.
B. the motion is SHM.
C. the particle oscillates with a frequency equal to `sqrt(b)/(2pi)`
D. total energy of particle is conserved.