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The locus of the points of intersection of the lines `x cos theta+y sin theta=a ` and `x sin theta-y cos theta=b`, (`theta=` variable) is :

A

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

B

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

C

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

D

None of the above

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The correct Answer is:
A
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