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The equation of the locus of the point o...

The equation of the locus of the point of intersection of the straight lines `x sin theta + (1- cos theta) y = a sin theta` and `x sin theta -(1+ cos theta) y + a sin theta =0` is:

A

`y=+- ax`

B

`x=+- ay`

C

`y^(2) =4ax`

D

`x^(2) + y^(2) =a^(2)`

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