Two simple harmonic motions, as shown, are at right angles. They are combined to form Lissajous figures

$x\left( t \right) = A\,\sin \,\left( {at + \delta } \right)$

$y\left( t \right) = B\,\sin \,\left( {bt} \right)$

Identify the correct match below

  • AParameters: $A\, = B$, $a\, = 2b$; $\delta  = \frac{\pi }{2}$; Curve : Circle
  • BParameters: $A\,= B$, $a\, = b$; $\delta  = \frac{\pi }{2}$ ; Curve : Line
  • CParameters: $A \ne B$, $a\, = b$; $\delta  = \frac{\pi }{2}$; Curve : Ellipse
  • DParameters: $A \ne B$, $a\, = b$; $\delta\, = 0$; Curve : Parabola
JEE MAIN 2018, Diffcult
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