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Find the locus of the point of intersect...

Find the locus of the point of intersection of lines `xcosalpha+ysinalpha=a` and `xsinalpha-ycosalpha=b(alpha` is a 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

None of these

Text Solution

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The correct Answer is:
C
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