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प्रश्न
If \(x=a\cos t\) and \(y=a\sin t\), what are the derivatives with respect to \(t\)?
विकल्प
\(\frac{dx}{dt}=-a\sin t,\ \frac{dy}{dt}=a\cos t\)
\(\frac{dx}{dt}=a\cos t,\ \frac{dy}{dt}=a\sin t\)
\(\frac{dx}{dt}=-a\cos t,\ \frac{dy}{dt}=-a\sin t\)
\(\frac{dx}{dt}=a\sin t,\ \frac{dy}{dt}=-a\cos t\)
MCQ
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उत्तर
Differentiating \(x=a\cos t\) gives \(\frac{dx}{dt}=-a\sin t\). Differentiating \(y=a\sin t\) gives \(\frac{dy}{dt}=a\cos t\).
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