A particle is acted simultaneouosly be mutually perpendicular simple harmonic motion x= a cos omega t" and "y= a sin omega t. The trajectory of motion of the particle will be………

A particle is acted simultaneouosly be mutually perpendicular simple h

1.	A particle is acted simultaneouosly be mutually perpendicular simple harmonic motion x= a cos omega t" and "y= a sin omega t. The trajectory of motion of the particle will be………
Answer» an ellipse a parabola a CIRCLE a STRAIGHT line Solution :`x= a COS omega t" and "y= a sin omega t` Squaring and adding the both, `x^(2)+y^(2) = a^(2) [ cos^(2) omega t+ sin omega^(2) t]` `THEREFORE x^(2)+y^(2)= a^(2)` is a general FORMULA of circle, its radius is a.