If the line `x+2b y+7=0` is a diameter of the circle `x^2+y^2-6x+2y=0` , then find the value of `b`

The line x+3y=0 is a diameter of the circle x^2+y^2-6x+2y=0

Find the image of the circle x^2+y^2-2x+4y-4=0 in the line 2x-3y+5=0

If x^(2)+y^(2)+6x-4y-12=0 then find the ragne of 2x+y

Check whether the line 2x+y-2=0 can be diameter of the circle x^(2)+y^(2)-6x+8y-11=0 .

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

Determine whether x+y-1=0 is the equation of a diameter of the circle x^(2)+y^(2)-6x+4y+c=0 for all possible values of c.

Consider the family of circles x^(2)+y^(2)-2x-6y-8=0 passing through two fixed points A and B . Also, S=0 is a cricle of this family, the tangent to which at A and B intersect on the line x+2y+5=0 . If the circle x^(2)+y^(2)-10x+2y+c=0 is orthogonal to S=0 , then the value of c is

If line 3x-a y-1=0 is parallel to the line (a+2)x-y+3=0 then find the value of adot

If the line 3x-4y-lambda=0 touches the circle x^2 + y^2-4x-8y- 5=0 at (a, b) then which of the following is not the possible value of lambda+a + b ?

If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to a circle, then find the radius of the circle.