Two simple harmonic motions, as shown below, are at right angles. They are combined to form Lissajous figures.
x(t) = A sin (at + $\delta $)
y(t) = B sin (bt)
Identify the correct match below.
Parameters A $ \ne $ B, a = b; $\delta $ = 0;
Curve Parabola
Parameters A = B, a = b; $\delta $ = $${\raise0.5ex\hbox{$\scriptstyle \pi $}
\kern-0.1em/\kern-0.15em
\lower0.25ex\hbox{$\scriptstyle 2$}}$$
Curve Line
Parameters A $ \ne $ B, a = b; $\delta $ = $${\raise0.5ex\hbox{$\scriptstyle \pi $}
\kern-0.1em/\kern-0.15em
\lower0.25ex\hbox{$\scriptstyle 2$}}$$
Curve Ellipse
Parameters A = B, a = 2b; $\delta $ = $${\raise0.5ex\hbox{$\scriptstyle \pi $}
\kern-0.1em/\kern-0.15em
\lower0.25ex\hbox{$\scriptstyle 2$}}$$
Curve Circle
