Question

Find the centre and radius of each of the following circle : (i) `x^(2)+y^(2)+4x-4y+1=0`
(ii) `2x^(2)+2y^(2)-6x+xy-1=0`
(iii) `2x^(2)+2y^(2)=3k(x+k)`
(iv) `3x^(2)+3y^(2)-5x-6y+4=0`
(v) `x^(2)+y^(2)-2ax-2by+a^(2)=0`

Answer 1

Correct Answer - (i) `C(-2,2)r=sqrt(7)` , (ii) `C((3)/(2),-(3)/(2)),r=sqrt(5)`
(iii) `C((3k)/(4),0),r=(sqrt(33))/(4)` , (iv) `C((5)/(6),1),r=(sqrt(13))/(6)`
(v) C(a,b),r=b