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Find the equations of the circles the end points of whose diameter are as follows :
(i) (0,6) and (6,0)
(ii) (-1,3) and (2,4)
(iii) (A+b,a-b) and (a-b,a+b)
(iv) (0,0) and (2,2)

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Correct Answer - (i) `x^(2)+y^(2)-6x-6y=0` , (ii) `x^(2)+y^(2)-4x-8y-214=0` (iii) `x^(2)+y^(2)-2ax-2ay+2(a^(2)-b^(2))=0` , (iv) `x^(2)+y^(2)-2x-2y=0`

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