If a line is drawn through a point `A(3,4)` to cut the circle `x^2 + y^2 = 4` at `P and Q` then `AP.AQ=`

A line is drawn through the point P(3,11) to cut the circle x^(2)+y^(2)=9 at A and B. Then PA.PB is equal to

A line is drawn through a fixed point P(alpha, B) to cut the circle x^(2)+y^(2)=r^(2) at A and B. Then PA.PB is equal to

A line drawn through the point P(4,7) cuts the circle x^(2)+y^(2)=9 at the points A and B .Then PA.PB is equal to:

A line passing through the points A(1.-2) cuts the circle x^(2)+y^(2)-y=0 at P and Q Then the maximum value of |AP-AQ| is

If a circle passes through the point (3,4) and cuts the circle x ^(2) + y ^(2) =a ^(2) orthogonally, the equation of the locus of its centre is

A tangent to the circle x^(2)+y^(2)=1 through the point (0, 5) cuts the circle x^(2)+y^(2)=4 at P and Q. If the tangents to the circle x^(2)+y^(2)=4 at P and Q meet at R, then the coordinates of R are

Two circles with radii 5 cm and 8 cm touch each other externally at a point A. If a straight line through the point A cuts the circles at points P and Q respectively, then AP : AQ is