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

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 of intersection of the circles x^2+y^2-4x-2y=8 and x^2+y^2-2x-4y=8 and the point (-1,4) is (a) x^2+y^2+4x+4y-8=0 (b) x^2+y^2-3x+4y+8=0 (c) x^2+y^2+x+y=0 (d) x^2+y^2-3x-3y-8=0

The equation of the circle which passes through the points of intersection of the circles x^(2)+y^(2)-6x=0 and x^(2)+y^(2)-6y=0 , and has its centre at ((3)/(2),(3)/(2)) is

Find the equation of the line passing through the point of intersection of the lines 4x + 7y - 3 = 0 " and " 2x - 3y + 1 = 0 that has equal intercepts on the axes.

The equation of the circle passing through the point of intersection of the circle x^2+y^2=4 and the line 2x+y=1 and having minimum possible radius is (a) 5x^2+5y^2+18 x+6y-5=0 (b) 5x^2+5y^2+9x+8y-15=0 (c) 5x^2+5y^2+4x+9y-5=0 (c) 5x^2+5y^2-4x-2y-18=0

The equations of the line passing through the point of intersection of the lines x-3y+1=0 and 2x+5y-9=0 , whose distance from the origin is sqrt5 .

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 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 straight line passing throught the point of intersection of the lines y=3x-1 and x-2y+3=0 and parallel to 3x-2y+7 =0.

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-