vikas askiitian expert
Last Activity: 14 Years ago
1/2(x2+y2) + xcosa + ysina - 4 = 0
x2+y2 + 2xcosa + 2ysina - 8 =0
coordinates of center = (h,k) = (-g,-f)
g = cosa , f=sina (from eq of circle)
(h,k) = (-cosa, -sina)
h = -cosa , k = -sina
h2 + k2 = (-cosa)2 + (-sina)2
=sin2a+cos2a=1
h2 + k2 = 1
replacing (h,k) by (x,y)
x2+y2 = 1
this is the required equation
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