If \[x=a{{\cos }^{3}}\theta ,y=a{{\sin }^{3}}\theta \], then \[\sqrt{1+{{\left( \frac{dy}{dx} \right)}^{2}}}=\] [EAMCET 1992]

If \[x=a{{\cos }^{3}}\theta ,y=a{{\sin }^{3}}\theta \], then \[\sqrt{1

1.	If \[x=a{{\cos }^{3}}\theta ,y=a{{\sin }^{3}}\theta \], then \[\sqrt{1+{{\left( \frac{dy}{dx} \right)}^{2}}}=\] [EAMCET 1992]
A.	\[{{\tan }^{2}}\theta \]
B.	\[{{\sec }^{2}}\theta \]
C.	\[\sec \theta \]
D.	\[\|\sec \theta \|\]
Answer» E.

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If \[x=a{{\cos }^{3}}\theta ,y=a{{\sin }^{3}}\theta \], then \[\sqrt{1+{{\left( \frac{dy}{dx} \right)}^{2}}}=\] [EAMCET 1992]

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