Find the locus of the point of intersect...

Find the locus of the point of intersection of the lines `x cos alpha + y sin alpha = a` and `x sin alpha - y cos alpha = b`, where `alpha` is variable.

A

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

B

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

C

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

D

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

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The correct Answer is:

C

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