[" If circles "x^(2)+y^(2)=3" and "],[x^(2)+y^(2)+ax+by+3=0" with "],[" radius "sqrt(6)" intersect at two points "A" and "],[B" .Then length "AB" is equal to_."]

If circles x^(2)+y^(2)=c with radius sqrt(3) and x^(2)+y^(2)+ax+by+c=0 with radius sqrt(6) intersect at two points A and B. If length of AB=sqrt(l) . Find l .

If circles x^(2)+y^(2)=c with radius sqrt(3) and x^(2)+y^(2)+ax+by+c=0 with radius sqrt(6) intersect at two points A and B. If length of AB=sqrt(l) . Find l .

If the two circles (x-2)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-10x+2y+17=0 intersect in two distinct point then

If the circles x ^(2) + y ^(2) + 5x -6y-1=0 and x ^(2) + y^(2) +ax -y +1=0 intersect orthogonally (the tangents at the point of intersection of the circles are at right angles), the value of a is

The two circles x ^(2)+y^(2)-2x +22y +5=0 and x ^(2) + y^(2) +14 x+6y +k=0 intersect orthogonally provided k is equal to-

The two circles x^(2) + y^(2) - 2x + 22y + 5 = 0 and x^(2) + y^(2) + 14x + 6y + k = 0 intersect orthogonally provided k is equal to...

A chord AB of circle x^(2) +y^(2) =a^(2) touches the circle x^(2) +y^(2) - 2ax =0 .Locus of the point of intersection of tangens at A and B is :