Two circle `x^2+y^2=6` and `x^2+y^2-6x+8=0` are given. Then the equation of the circle through their points of intersection and the point (1, 1) is
`x^2+y^2-6x+4=0`
`x^2+y^2-3x+1=0`
`x^2+y^2-4y+2=0`
none of these

The equation of the circle passing through the point (1, 1) and the points of intersection of x^2+y^2-6x+8=0 and x^2+y^2-6=0 is

The equation of the line passing through the points of intersection of the circles 3x^2 +3y^2-2x + 12y-9=0 and x^2+y^2+6x+2y-15=0 is

The equation of the circle passing through the point (1, 1) and the points of intersection of x^(2)+y^(2)-6x-8=0 and x^(2)+y^(2)-6=0 is

Find the equation of the circle passing through the points of intersection of the circles x^(2) + y^(2) - x + 7y - 3 = 0, x^(2) + y^(2) - 5x - y + 1 = 0 and having its centre on the line x+y = 0.

The equation of the circle passing through the point (1 , 1) and the points of intersection of x^(2) + y^(2) - 6x - 8 = 0 and x^(2) + y^(2) - 6 = 0 is _

Equation of the circle which passes through the points of intersection of circles x ^(2) +y^(2) =6 and x^(2)+y^(2) -6x +8 =0 and the point (1,1) is-

The ellipse 4x^2+9y^2=36 and the hyperbola a^2x^2-y^2=4 intersect at right angles. Then the equation of the circle through the points of intersection of two conics is (a) x^2+y^2=5 (b) sqrt(5)(x^2+y^2)-3x-4y=0 (c) sqrt(5)(x^2+y^2)+3x+4y=0 (d) x^2+y^2=25

Show that the equation of the circle passing through (1, 1) and the points of intersection of the circles x^2+y^2+13 x-3 y=0 and 2x^2+2y^2+4x-7y-25=0 is 4x^2+4y^2+30 x-13 y-25=0.

Find the equation of the circles which passes through the origin and the points of intersection of the circles x^(2) + y^(2) - 4x - 8y + 16 = 0 and x^(2) + y^(2) + 6x - 4y - 3 = 0 .

Find the point of intersection of the circle x^2+y^2-3x-4y+2=0 with the x-axis.