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The normal to the curve x= a ( cos thet...

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

A

it passes through the origin

B

it passes through (a, -a)

C

it is at a constant distance from the origin

D

it makes angle `( (pi)/(4) + theta)` with the x- axis

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The correct Answer is:
C
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