The line `lambdax +mu y = 1` is a normal to the circle `2x^2 + 2y^2 -5x + 6y -1 = 0` if

The line lambda x+mu y=1 is a normal to the circle 2x^(2)+2y^(2)-5x+6y-1=0 if

The normal at (1,1) to the circle x^(2)+y^(2)-4x+6y-4=0 is

If the line 2x-y + k = 0 is a diameter of the circle x^2 + y^2 + 6x - 6y + 5 = 0 , then k is:

If the line a x+b y=2 is a normal to the circle x^2+y^2-4x-4y=0 and a tangent to the circle x^2+y^2=1 , then a and b are

If the line a x+b y=2 is a normal to the circle x^2+y^2-4x-4y=0 and a tangent to the circle x^2+y^2=1 , then

If the line a x+b y=2 is a normal to the circle x^2+y^2-4x-4y=0 and a tangent to the circle x^2+y^2=1 , then a and b are

If the line a x+b y=2 is a normal to the circle x^2+y^2+4x+4y=0 and a tangent to the circle x^2+y^2=1 , then a and b are

If the point of intersection of the tangents drawn at the points where the line 5x + y + 1= 0 cuts the circle x^(2) + y^(2) - 2x - 6y - 8 = 0 is (a,b) , then 5a + b =

The point (1,2) lies inside the circle x^(2) + y^(2) - 2x + 6y + 1 = 0 .