The comibined to form Lissajous figures A. A≠Ba=b,δ=π/2 Ellipse. Therefore, A. A≠Ba=b,δ=π/2 Ellipse is correct.
Two Simple Harmonic Motions: The equations x(t) = Asin(at + δ) and y(t) = Bsin(bt) represent two simple harmonic motions.
Right Angles: The statement says the motions are "at right angles," which means they are perpendicular to each other.
This implies that the phase difference between the two motions is π/2.
Lissajous Figures: Combining two simple harmonic motions at right angles results in a Lissajous figure.
The specific shape of the Lissajous figure depends on the ratio of the amplitudes (A and B) and the frequencies (a and b) of the two motions, as well as the phase difference (δ).
Ellipse: In this case, the given conditions are A ≠ B, a = b, and δ = π/2. When these conditions are met, the resulting Lissajous figure is an ellipse.