Two circles with centres at ` C_(1) , C_(2) ` and having radii ` r_(1) , r_(2)` will intersect each in two real distinct points if , and only if :

Three circles with centres C_(1),C_(2) and C_(3) and radii r_(1),r_(2) and r_(3) where *r_(-)1

The radical axis of two circles having centres at C_(1) and C_(2) and radii r_(1) and r_(2) is neither intersecting nor touching any of the circles, if

Two circles with centres C_(1),C_(2) and same radius r cut each other orthogonally,then r is

Statement I Circles x^(2)+y^(2)=4andx^(2)+y^(2)-6x+5=0 intersect each other at two distinct points Statement II Circles with centres C_(1),C_(2) and radii r_(1),r_(2) intersect at two distinct points if |C_(1)C_(2)|ltr_(1)+r_(2)

The circles having radii r_(1) andr _(2) intersect orthogonally.The length of their common chord is

Two conducting spheres of radii r_(1) and r_(2) having charges Q_(1) and Q_(2) respectively are connected to each other. There is

The circles having radii r1 and r2 intersect orthogonally Length of their common chord is

C_(1) and C_(2) are two concentric circles with centres at O. Their radii are 12 cm and 3 cm respectively. B and C are the points of contact of two tangents draw to C_(2) from a point A lying on the circle C_(1) . Then the area of the quadrilateral ABOC is-