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rohan bhatia Grade: 11
        

ple solve this qutn

prove that the locus of center of the circle



1\2(x2+y2)+ x cosA + y sinA - 4 = 0


is x2+ y2 = 1





7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear rohan


1\2(x2+y2)+ x cosA + y sinA - 4 = 0


or (x2+y2)+ 2x cosA + 2y sinA - 8 = 0


center of circle is (-cosA ,-sinA)


let center of circle is (h,k)


 so h=-cosA   and k=-sinA


h2+k2 =sin2A +cos2A


h2+k2 =1


so locus


x2+y2 =1





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Badiuddin

7 years ago
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