1.AB,CDAB, CDAB,CD move along xxx and yyy axes such that A,B,C,DA,B,C,DA,B,C,D are concyclic. AB=aAB=aAB=a, CD=bCD=bCD=b. Locus of centre in polar coordinatesa.r2=a2+b24r^2=\frac{a^2+b^2}{4}r2=4a2+b2b.r2cos2θ=a2+b2r^2\cos2\theta=a^2+b^2r2cos2θ=a2+b2c.r2=4(a2+b2)r^2=4(a^2+b^2)r2=4(a2+b2)d.r2cos2θ=4(a2−b2)r^2\cos2\theta=4(a^2-b^2)r2cos2θ=4(a2−b2)Login to continueOnly logged in users canattempt or see the solution.
