Find the position of the unit (-3, -2) with respect to the circle whose equation is `x^(2) + y^(2) - 3x + 2y - 19 = 0`.

Examine the position of the point (-2,-3) with respect to the circle x^(2)+y^(2)-x-y-7=0 .

Find the centre and radius of each of the circles whose equations are given below. 2x^(2) + 2y^(2) - 3x + 2y - 1 =0

Find the equation of the polar of (2, 3) with respect to the circle x^(2) +y^(2) + 6x + 8y -96 = 0

Find the centre and radius of each of the circles whose equations are given below. 3x^(2) + 3y^(2) - 6x - 12y - 1 =0 Find the radius and centre of the circle.

Find the equation of the chord of contact of the point (1,2) with respect to the circle x^(2)+y^(2)+2x+3y+1=0

Find the equation of the circle which intersects each of the following circles orthogonlly x^2 + y^2 + 4x + 2y + 1 = 0 . 2(x^2 + y^2) + 8x + 6y - 3 = 0, x^2 + y^2 + 6x -2y - 3 =0.

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

Find the centre and radius of each of the following circles : x^(2) + y^(2) - 3x + 2y - 19 = 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

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