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Shows that the locus of point of intersection of the lines xcosa+ycosa=p, xsina-ycosa=q,a is parameter,is a circle.

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Solution

Your question has small mistake,

xcosa +ysina=p 1
xsina −ycosa=q 2
Squaring and adding 1 and 2 we get
x2+y2=p2+q2

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