The equations of two waves acting in perpendicular directions are given as $x=a \cos (\omega t+\delta)$ and $y=a \cos (\omega t+\alpha)$, where $\delta=\alpha+\frac{\pi}{2}$, the resultant wave represents
AIPMT 2000, Medium
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$x=a \cos (\omega t+\delta)$ and
$y=a \cos (\omega t+\alpha)$
$\delta=\alpha+\pi / 2$
$x=a \cos (\omega t+\alpha+\pi / 2)$
$x=-a \sin (\omega t+\alpha)$
$x^{2}+y^{2}=a^{2}$
which represents the equation of a circle.
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