The length of normal to the curve \[x=a\,(\theta +\sin \theta ),\] \[y=a(1-\cos \theta )\] at the point \[\theta =\pi /2\]is [RPET 1999]

The length of normal to the curve \[x=a\,(\theta +\sin \theta ),\] \[y

1.	The length of normal to the curve \[x=a\,(\theta +\sin \theta ),\] \[y=a(1-\cos \theta )\] at the point \[\theta =\pi /2\]is [RPET 1999]
A.	\[2a\]
B.	\[a/2\]
C.	\[\sqrt{2}\,a\]
D.	\[a/\sqrt{2}\]
Answer» D. \[a/\sqrt{2}\]

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The length of normal to the curve \[x=a\,(\theta +\sin \theta ),\] \[y=a(1-\cos \theta )\] at the point \[\theta =\pi /2\]is [RPET 1999]

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