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Find the centre and radius of each of th...

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`

Text Solution

Verified by Experts

The correct Answer is:
(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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