Radical Centre

STATEMENT-1 : If n circles (n ge 3) , no two circles are non-centric and no three centre are collinear and number of radical centre is equal to number of radical axes, then n = 5. and STATEMENT-2 : If no three centres are collinear and no two circles are concentric, then number of radical centre is ""^(n)C_(3) and number of radical axs is ""^(n)C_(2).

The radical centre of the three circles is at the origin. The equations of the two of the circles are x^(2)+y^(2)=1 and x^(2)+y^(2)+4x+4y-1=0 . If the third circle passes through the points (1, 1) and (-2, 1), and its radius can be expressed in the form of (p)/(q) , where p and q are relatively prime positive integers. Find the value of (p+q) .

The equations of the three circles are x^(2)+y^(2)-6x-6y+4=0,x^(2)+y^(2)-2x-4y+3=0 and x^(2)+y^(2)+2kx+2y+1=0. If the radical centre of above three circles exist then which of the following can not be the value of k

CFC overset(UV)to radical Radical formed in reaction will be:

Free radical properties || generation OF radical characteristics || reaction OF free radical

Reaction Mechanism : free radicals,natural tendencies OF free radicals,reaction based on free radicals, wurtz reaction