Two linear SHM of equal amplitudes `A` and frequencies `omega` and `2omega` are impressed on a particle along `x` and `y - axes` respectively. If the initial phase difference between them is `pi//2`. Find the resultant path followed by the particle.

Options

A. `y^(2)=x^(2)(1-x^(2)//A^(2))`
B. `y^(2)=2x^(2)(1-x^(2)//A^(2))`
C. `y^(2)=4x^(2)(1-x^(2)//A^(2))`
D. `y^(2)=8x^(2)(1-x^(2)//A^(2))`

Answer

C