If (2, 4) is a point interior to the circle `x^(2)+y^(2)-6x-10y+lambda=0` and the circle does not cut the axes at any point, then

If (2,4) is an interior point to the circle x^(2)+y^(2)-6x-10y+lamda=0 and the circle does not cut the axes at any point, then show that lamda epsilon (25,32) .

If (2,5) is an interior point of the circle x^2+y^2-8x-12y+P=0 and the circle neither cuts nor touches any one of the co-ordinate axes then :

If a point (1,4) lies inside the circle x^(2) +y^(2) - 6x -10 y +p=0 and the circle does not touch or intersect the coordinate axes , then the set of all possible values of p is the interval.

If the point (1, 4) lies inside the circle x^(2)+y^(2)-6x-10y+p=0 then p is:

If (4,0) is a point on the circle x^(2)+ax+y^(2)=0 , then the centre of the circle is at

If the circle x^(2)+y^(2)-4x-6y+lambda=0 touches the axis of x, then determine the value of lambda and the point of contact

The nearest point on the circle x^(2)+y^(2)-6x+4y-12=0 from (-5,4) is

The nearest point on the circle x^(2)+y^(2)-6x+4y-12=0 from (-5,4) is