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`

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

If the line 3x-2y+p = 0 is normal to the circle x^(2)+ y^(2) = 2x-4y ,then p will be

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

If the straight line ax+by=2;a,b!=0 touches the circle x^(2)+y^(2)-2x=3 and is normal to the circle x^(2)+y^(2)-4y=6 ,then the values of 'a' and 'b'are?

Find the equation of the tangent and normal to the circle 2x^2+2y^2-3x-4y+1=0 at the point (1,2)

To the circle x^(2)+y^(2)+8x-4y+4=0 tangent at the point theta=(pi)/(4) is

The equation of the normal at (1,2) to the circle x^(2)-y^(2)-4x-6y-12=0 is

Point on the circle x^(2)+y^(2)-2x+4y-4=0 which is nearest to the line y=2x+11 is :

A line y=2x+c intersects the circle x^(2)+y^(2)-2x-4y+1=0 at P and Q. If the tangents at P and Q to the circle intersect at a right angle,then |c| is equal to