The circle `x^2+y^2-6x-10 y+k=0` does not touch or intersect the coordinate axes, and the point (1, 4) is inside the circle. Find the range of value of `kdot`

The circle x^2+y^2-2x-2y+k=0 represents a point circle when k.=

The circle x ^(2) +y^(2) -8 x+4=0 touches -

Show that the circle x^(2) + y^(2) + 6(x-y) + 9 = 0 touches the coordinates axes. Also find the equation of the circle which passes through the common points of intersection of the above circle and the straight line x-y+4 = 0 and which also passes through the origin.

Tangent drawn from the point P(4,0) to the circle x^2+y^2=8 touches it at the point A in the first quadrant. Find the coordinates of another point B on the circle such that A B=4 .

Show that the circle x^(2) + y^(2) + 4(x+y) + 4 = 0 touches the coordinates axes. Also find the equation of the circle which passes through the common points of intersection of the above circle and the straight line x+y+2 = 0 and which also passes through the origin.

Show that the circles x^2+y^2-10 x+4y-20=0 and x^2+y^2+14 x-6y+22=0 touch each other. Find the coordinates of the point of contact and the equation of the common tangent at the point of contact.

If a circle passes through the points of intersection of the coordinates axes with the lines lambdax-y+1=0 and x-2y+3=0 , then find the value of lambda .

If the length tangent drawn from the point (5, 3) to the circle x^2+y^2+2x+k y+17=0 is 7, then find the value of kdot

The circle x^(2) + y^(2) + 2x - 4y - 11 = 0 and the line x-y+1=0 intersect at A and B. Find the equation to the circle on AB as diameter.

The number of integral coordinates of the points (x, y) which are lying inside the circle x^(2) + y^(2) = 25 is n, then the integer value of (n)/(9) will be -