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The normal to the curve x=a(cos theta + ...

The normal to the curve `x=a(cos theta + theta sin theta), y=a(sin theta - theta cos theta)` at any `theta` is such that

A

it passes through the origin

B

it makes angle `(pi/2+theta)` with the X-axis

C

it passes through `((api)/(2),-a)` origin

D

it is a constant distance from the origin

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