If the equation of a circle of a circle is `10x^(2)-10x+y^(2)+6y=-9`, which of the following lines contains a diameter of the circle?

2x+y=0 is the equation of a diameter of the circle which touches the lines 4x-3y+10=0 and 4x-3y-30=0 The centre and radius of the circle are

2x+y=0 is the equation of a diameter of the circle which touches the lines 4x-3y+10=0 and 4x-3y-30=0. The centre and radius of the circle are

If a circle is concentric with the circle x^(2) + y^(2) = 8 and its diameter is 4 units , which of the following will be the equation of the circle ?

The equation of the diameter of the circle 3(x^(2)+y^(2))-2x+6y-9=0 which is perpendicular to the line 2x+3y=12 is

Find the equation of the diameter of the circle x^(2) + y^(2) - 4x + 6y + 9 = 0 which passes through the point (1, -2).

If one of the diameters of the circle x^(2)+y^(2)-2x-6y+6=0 is a chord to the circle with center (2,1) ,then the radius of the circle is

Equation of normal at P(3,-4) to the circle x^(2)+y^(2)-10x-2y+6=0 is

(i) Find the equation of a circle , which is concentric with the circle x^(2) + y^(2) - 6x + 12y + 15 = 0 and of double its radius. (ii) Find the equation of a circle , which is concentric with the circle x^(2) + y^(2) - 2x - 4y + 1 = 0 and whose radius is 5. (iii) Find the equation of the cricle concentric with x^(2) + y^(2) - 4x - 6y - 3 = 0 and which touches the y-axis. (iv) find the equation of a circle passing through the centre of the circle x^(2) + y^(2) + 8x + 10y - 7 = 0 and concentric with the circle 2x^(2) + 2y^(2) - 8x - 12y - 9 = 0 . (v) Find the equation of the circle concentric with the circle x^(2) + y^(2) + 4x - 8y - 6 = 0 and having radius double of its radius.

y=2x is a chord of the circle x^(2)+y^(2)-10x=0, then the equation of a circle with this chord as diameter is

If y = 2x is a chord of a circle x^2+ y^2-10x = 0 , find the equation of the circle with this chord as diameter.