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
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
