find the locus of point of intersection of the lines xcosA+ysinA=a and xsinA-ycosA=b, where A is variable

/2Hi Harsh dear, solving the given two equations for x and y we get x = a cos A + b sin A and y = a sinA - b cos A
Squaring and adding we get x2 + y2 = a2 + b2 
Hence it is a circle with origin as centre and (a2 + b2)​1/2 as radius
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