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be the centeit makes one completei.e., in position Q1 AB-r circumference of the circle-2 π ( 1)2 πI:ordinates of C, are (1+2 t, 1) and radius of the cirele, the required equation of the circle is(x-1-2r)2 + (y-1)2=1mple 14. Find the radius of the circleis a variable, find the locus of the centre of the alcentre and radius of the locus.ution. The given equation of the circle is(x cos α + y sin α-a)2 + (x sin α _ y cos α-b)x2 (cos2 α + sin2 α) + 3,2 (sin2 α + cos2 α) + α2 + b2-2x (a cos α + b sin α)-2y (a sin α_bcx2 + y2-2(a cos α + b sin α) x-2(α sin α-bcos+ (a2Centre is (a cos α + b sin α), (a sin α-b cos α)Radius = V g2 + f2-c |
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