If the line `ax + by +11=0` meets the circle `x^2+y^2 =61` at A, B and `P(-5, 6)` is on the circle such that `PA= PB = 10` then `|a+b|=`______

The line 2x-y+6=0 meets the circle x^(2)+y^(2)-2y-9=0 at A and B. Find the equation of the circle on AB as diameter.

The line 3x -y -17=0 meets the circle x ^(2) +y ^(2) -8x+ 10 y + 5=0 at the point A and B. P is any point on the circle other than A or B, then the triangle APR is

The straight line x+y-1=0 meets the circle .x^(2)+y^(2)-6x-8y=0 at A and B . Then,the equation of : the circle of which AB is a diameter,is

If line y= 2x meets circle x^(2) + y^(2) - 4x = 0 in point A and B , then equation of circle of which AB is diameter is

If line y = 4x meets circle x^(2) + y^(2) - 17 x = 0 in points A and B , then equation of circle of which AB is a diameter is

From the point (-1,1) , two tangents are drawn to x^2+y^2-2x-6y+6=0 that meet the circle at A & B . A point D on the circle such that AD=AB then find the area of DeltaABD

If a line through P(-2,3) meets the circle x^(2)+y^(2)-4x+2y+k=0 at A and B such that PA.PB =31 then the radius of the circle is