1.

Find the centre and radius of each of the circles whose equations are given below: (i) 3x^(2)+3y^(2)-5x-6y+4=0 (ii) 3x^(2)+3y^(2)+6x-12-1=0 (iii) x^(2)+y^(2)+6x+8y-96=0 (iv) 2x^(2)+2y^(2)-4x+6y-3=0 (v) 2x^(2)+2y^(2)-3x+2y-1=0 (vi) x^(2)+y^(2)+2x-4y-4=0 (vii) x^(2)+y^(2)-4x-8y-41=0

Answer»


Answer :(i) `(5/6, 1),(sqrt(13))/6` (ii) `(-1,2),4/(sqrt(3))`
(iii) `(-3,-4),11` (IV) `(1,(-3)/2),(sqrt(19))/2`
V. `(3/4,(-1)/2),(sqrt(21))/4` (VI) `(-1,2),3`
(vii) (2,4),`sqrt(61)`


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