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The equation of the circle, orthological...

The equation of the circle, orthological to both the circle `x^(2) + y^(2) + 3x - 5y + 6 = 0` and `x^(2) + 4y^(2) - 28x + 29 = 0` and whose centre lies on the line `3x + 4y + 1 = 0` is

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Obtain the equation of the circle orthogonal to both the circles x^2+y^2+3x-5y+6=0 and 4x^@+4y^2-28x+29=0 and whose centre lies on the line 3x+4y+1=0

Find the equation of the circle whose diameter is the common chord of the circles x^(2) + y^(2) + 2x + 3y + 1 = 0 and x^(2) + y^(2) + 4x + 3y + 2 = 0

The equation of the normal to the circle x^(2)+y^(2)+6x+4y-3=0 at (1,-2) to is

Find the equation of the circle passing through the point of intersection of the circles x^2 + y^2 - 6x + 2y + 4 = 0, x^2 + y^2 + 2x - 4y -6 = 0 and with its centre on the line y = x.

Let circle cuts ortholognally each of the three circles x^(2) + y^(2) + 3x + 4y + 11 = 0, x^(2) + y^(2) - 3x + 7y - 1 = 0 and x^(2) + y^(2) + 2x = 0

The distance of the point (1,-2) from the common chord of the circles x^(2) + y^(2) - 5x +4y - 2= 0 " and " x^(2) +y^(2) - 2x + 8y + 3 = 0

Find the centre and radius of the circle 3x^(2)+ 3y^(2) - 6x + 4y - 4 = 0

Find the radius and centre of the circle of the circle x^(2) + y^(2) + 2x + 4y -1=0 .

Find'the centre and radius of the circle (i) x^(2) +y^(2) + 4x - 1 = 0 (ii) 2 x^(2) + 2y^(2) = 3x - 5y + 7

Equation of the circle cutting orthogonal these circles x^2+y^2-2x-3y-7=0 , x^2 +y^2+5x-5y+9=0 and x^2+y^2+7x-9y+29=0 is: